Ejemplo n.º 1
0
        /// <summary>
        /// Compares this instance with a specified adjacency matrix.
        /// </summary>
        /// <param name="matrix">The specified adjacency matrix that this instantce is to be compared with.</param>
        /// <returns>
        /// Returns NULL if the two adjaceny matrices are identical.
        /// If the two adjacency matrices are different, return a List<int> containing the indexes of different vertices.
        /// </returns>
        public List <int> CompareTo(AdjacencyMatrix matrix)
        {
            bool isEqual = true;

            List <int> differentVertices = new List <int>();

            if (matrix == null)
            {
                isEqual = false;
                for (int v = 0; v < GetSize(); v++)
                {
                    if (this.IsVertexExisting(v))
                    {
                        if (!differentVertices.Contains(v))
                        {
                            differentVertices.Add(v);
                        }
                    }
                }
                differentVertices.Sort();
                return(differentVertices);
            }

            for (int v = 0; v < GetSize(); v++)
            {
                if (this.IsVertexExisting(v) != matrix.IsVertexExisting(v))
                {
                    isEqual = false;
                    if (!differentVertices.Contains(v))
                    {
                        differentVertices.Add(v);
                    }
                }
            }
            for (int row = 0; row < GetSize(); row++)
            {
                for (int col = 0; col < GetSize(); col++)
                {
                    if (!this.GetEdge(row, col).Equals(matrix.GetEdge(row, col)))
                    {
                        isEqual = false;
                        if (!differentVertices.Contains(row))
                        {
                            differentVertices.Add(row);
                        }
                    }
                }
            }
            if (isEqual)
            {
                return(null);
            }
            else
            {
                differentVertices.Sort();
                return(differentVertices);
            }
        }
 /// <summary>
 /// Show the tag window of the vertex, and all its adjacenct edge information.
 /// </summary>
 private void FormVertexTag_Load(object sender, EventArgs e)
 {
     for (int finishingVertex = 0; finishingVertex < mapMatrix.GetSize(); finishingVertex++)
     {
         int startingVertex = mapMatrix.GetVertexIndex((sender as FormVertexTag).Text.Trim("Vertex ".ToCharArray()));
         if (mapMatrix.IsVertexExisting(finishingVertex) && finishingVertex != startingVertex)
         {
             (sender as FormVertexTag).AddVertexTagControl(finishingVertex);
             if (mapMatrix.ContainsEdge(startingVertex, finishingVertex))
             {
                 (sender as FormVertexTag).edgeControls[(sender as FormVertexTag).edgeControls.Count - 1].GetCheckBoxContainsEdge().Checked = true;
                 (sender as FormVertexTag).edgeControls[(sender as FormVertexTag).edgeControls.Count - 1].GetTextBoxWeight().Text           = mapMatrix.GetEdge(startingVertex, finishingVertex).ToString();
             }
         }
     }
 }
Ejemplo n.º 3
0
 // Linked list maintenance (Group A) is implemented here
 /// <summary>
 /// Copies and initialises all the vertices into the Union-Find structural list.
 /// </summary>
 private void InitialiseUnionFind()
 {
     for (int vertex = 0; vertex < mapMatrix.GetSize(); vertex++)
     {
         if (mapMatrix.IsVertexExisting(vertex))
         {
             unionFindVertices.Add(new UnionFind());
             unionFindVertices[unionFindVertices.Count() - 1].SetVertex(vertex);
             unionFindVertices[unionFindVertices.Count() - 1].SetLeader(vertex);
             unionFindVertices[unionFindVertices.Count() - 1].SetPrev(-1);
             unionFindVertices[unionFindVertices.Count() - 1].SetHead(vertex);
             unionFindVertices[unionFindVertices.Count() - 1].SetTail(vertex);
             unionFindVertices[unionFindVertices.Count() - 1].SetCount(1);
         }
     }
 }
Ejemplo n.º 4
0
        private void LabelVertexName_Click(object sender, EventArgs e)
        {
            // Step 1 operation on graph - Choose starting vertex
            if (currentStep == 1 && !buttonNext.Enabled)
            {
                int vStart = Convert.ToInt32(Convert.ToChar((sender as Label).Text) - 'A');
                InitialiseSingleSource(vStart);
                permanentVertices.Add(vStart);
                for (int v = 0; v < mapMatrix.GetSize(); v++)
                {
                    if (mapMatrix.IsVertexExisting(v) && v != vStart)
                    {
                        temporaryVertices.Add(v);
                    }
                }
                labelInformation.Text = "You have chosen vertex " + (sender as Label).Text + ".\n"
                                        + "It has been made permanent by being given permanent label 0 and order label 1.";
                foreach (DijkstraVertexLabel vertex in vertices)
                {
                    if (vertex.labelVertexName.Equals(sender as Label))
                    {
                        vertex.Finalise(0, 1);
                        vertex.FocusOn();
                        break;
                    }
                }
                currentStep        = 2;
                buttonNext.Enabled = true;
            }

            // Step 3 operation on graph - Choose one of the candidate vertices
            else if (currentStep == 3 && !buttonNext.Enabled)
            {
                int newVertex = Convert.ToInt32(Convert.ToChar((sender as Label).Text) - 'A');
                if (candidateVertices.Contains(newVertex))
                {
                    temporaryVertices.Remove(newVertex);
                    permanentVertices.Add(newVertex);
                    labelInformation.Text = "You have chosen vertex " + (sender as Label).Text + ".\n"
                                            + "Therefore it has been made permanent with order " + permanentVertices.Count.ToString() + ".";
                    foreach (DijkstraVertexLabel vertex in vertices)
                    {
                        if (vertex.GetNumberIndex() == newVertex)
                        {
                            vertex.Finalise(min, permanentVertices.Count);
                        }
                        else
                        {
                            vertex.FocusOff();
                        }
                    }
                    currentStep        = 4;
                    buttonNext.Enabled = true;
                }
            }

            // Step 4 operation on graph - Choose one finishing vertex and show the shortest path
            // Graph/Tree Traversal (Group A) is implemented here.
            else if (currentStep == 4 && buttonNext.Text == "Close")
            {
                int vFinish = Convert.ToInt32(Convert.ToChar((sender as Label).Text) - 'A');
                if (vFinish != permanentVertices[0])
                {
                    labelInformation.Text = "You have chosen vertex " + (sender as Label).Text + ".\n"
                                            + "The shortest route from vertex " + Convert.ToChar(permanentVertices[0] + 'A').ToString()
                                            + " to " + (sender as Label).Text + " has been found using 'trace back' method.\n"
                                            + "You can click on other vertices to see their shortest routes and distances.";
                    labelFinalResult.Text = "Shortest route: ";

                    List <int> shortestPath = new List <int>
                    {
                        vFinish
                    };
                    int i = vFinish;
                    while (dijkstraMap[i].prev != -1)
                    {
                        labelFinalResult.Text += Convert.ToChar(i + 'A').ToString() + "←";
                        shortestPath.Add(dijkstraMap[i].prev);
                        i = dijkstraMap[i].prev;
                    }
                    shortestPath.Reverse();
                    labelFinalResult.Text += Convert.ToChar(permanentVertices[0] + 'A').ToString() + " (";
                    foreach (int vertex in shortestPath)
                    {
                        labelFinalResult.Text += Convert.ToChar(vertex + 'A').ToString();
                    }
                    labelFinalResult.Text += ")\nShortest distance = ";
                    foreach (DijkstraVertexLabel vertex in vertices)
                    {
                        if (vertex.labelVertexName.Equals(sender as Label))
                        {
                            labelFinalResult.Text += vertex.GetFinalLabel().ToString();
                            break;
                        }
                    }
                    labelFinalResult.Visible = true;

                    foreach (DijkstraVertexLabel vertex in vertices)
                    {
                        if (shortestPath.Contains(vertex.GetNumberIndex()))
                        {
                            vertex.FocusOn();
                        }
                        else
                        {
                            vertex.FocusOff();
                        }
                    }
                    for (int v1 = 0; v1 < mapMatrix.GetSize(); v1++)
                    {
                        for (int v2 = 0; v2 < mapMatrix.GetSize(); v2++)
                        {
                            if (mapMatrix.ContainsEdge(v1, v2))
                            {
                                DirectedEdgeFocusOff(v1, v2);
                                exampleGraph.LabelFocusOff(v1, v2);
                            }
                        }
                    }
                    for (int vertexIndex = 1; vertexIndex < shortestPath.Count; vertexIndex++)
                    {
                        int v1 = shortestPath[vertexIndex - 1];
                        int v2 = shortestPath[vertexIndex];
                        if (mapMatrix.ContainsEdge(v2, v1) && mapMatrix.GetEdge(v1, v2) == mapMatrix.GetEdge(v2, v1))
                        {
                            UndirectedEdgeFocusOn(v1, v2);
                            exampleGraph.LabelFocusOn(v1, v2);
                            exampleGraph.LabelFocusOn(v2, v1);
                        }
                        else
                        {
                            DirectedEdgeFocusOn(v1, v2);
                            exampleGraph.LabelFocusOn(v1, v2);
                        }
                    }

                    currentStep = 4;
                }
            }
        }
Ejemplo n.º 5
0
        // Graph/Tree Traversal (Group A) is implemented here.
        private void ButtonNext_Click(object sender, EventArgs e)
        {
            if (buttonNext.Text == "Close")
            {
                this.Close();
            }
            else
            {
                labelInformation.Visible = true;

                // Step 1 operation
                if (currentStep == 1)
                {
                    // Highlight current step
                    label1.ForeColor     = Color.Red;
                    labelStep1.ForeColor = Color.Red;
                    label2.ForeColor     = SystemColors.ControlText;
                    labelStep2.ForeColor = SystemColors.ControlText;
                    label3.ForeColor     = SystemColors.ControlText;
                    labelStep3.ForeColor = SystemColors.ControlText;

                    // Initialise Prim's algorithm
                    for (int i = 0; i < mapMatrix.GetSize(); i++)
                    {
                        if (mapMatrix.IsVertexExisting(i))
                        {
                            remainingVertices.Add(i);
                        }
                    }
                    labelInformation.Text = "Please pick a vertex of your choice:\nPlease click on the vertex of the graph.";
                    buttonNext.Enabled    = false;
                }

                // Step 2 operation
                else if (currentStep == 2)
                {
                    // Highlight current step
                    label1.ForeColor     = SystemColors.ControlText;
                    labelStep1.ForeColor = SystemColors.ControlText;
                    label2.ForeColor     = Color.Red;
                    labelStep2.ForeColor = Color.Red;
                    label3.ForeColor     = SystemColors.ControlText;
                    labelStep3.ForeColor = SystemColors.ControlText;

                    // Find minimum value of edge weight and candidate edges
                    double       min            = Double.MaxValue;
                    List <int[]> candidateEdges = new List <int[]>();

                    foreach (int i in visitedVertices)
                    {
                        foreach (int j in remainingVertices)
                        {
                            if (mapMatrix.ContainsEdge(i, j) && mapMatrix.GetEdge(i, j) < min) // Find minimum value of edge weight
                            {
                                min = mapMatrix.GetEdge(i, j);
                            }
                        }
                    }

                    foreach (int i in visitedVertices)
                    {
                        foreach (int j in remainingVertices)
                        {
                            if (mapMatrix.ContainsEdge(i, j) && mapMatrix.GetEdge(i, j) == min) // Find candidate edges
                            {
                                candidateEdges.Add(new int[2] {
                                    i, j
                                });
                            }
                        }
                    }

                    // More than two candidate edges - User operation required
                    if (candidateEdges.Count >= 2)
                    {
                        // Show explanation
                        labelInformation.Text = "Edges ";
                        foreach (int[] edge in candidateEdges)
                        {
                            labelInformation.Text += Convert.ToChar(edge[0] + 'A').ToString() + Convert.ToChar(edge[1] + 'A').ToString() + ", ";
                        }
                        labelInformation.Text  = labelInformation.Text.TrimEnd(", ".ToCharArray());
                        labelInformation.Text += " have the same weight (" + min.ToString() + "). Please pick one of your choice:\n"
                                                 + "Please click on the vertex or the weight.";

                        // Highlight candidate edges
                        for (int i = 0; i < candidateEdges.Count; i++)
                        {
                            int    v1        = Math.Min(candidateEdges[i][0], candidateEdges[i][1]);
                            int    v2        = Math.Max(candidateEdges[i][0], candidateEdges[i][1]);
                            string labelName = "label" + Convert.ToChar(v1 + 'A').ToString() + Convert.ToChar(v2 + 'A').ToString();
                            foreach (Label label in exampleGraph.labelWeights)
                            {
                                if (label.Name == labelName)
                                {
                                    label.ForeColor = Color.Red;
                                    break;
                                }
                            }
                            foreach (Vertex vertex in vertices)
                            {
                                if (vertex.GetNumberIndex() == candidateEdges[i][1])
                                {
                                    vertex.labelName.ForeColor = Color.Red;
                                    break;
                                }
                            }
                        }

                        currentStep        = 2;
                        buttonNext.Enabled = false;
                    }

                    // Only one candidate edge avaliable - No user operation needed
                    else
                    {
                        // Show explanation
                        int[] newEdge = new int[2] {
                            candidateEdges[0][0], candidateEdges[0][1]
                        };
                        labelInformation.Text = "Edge " + Convert.ToChar(candidateEdges[0][0] + 'A').ToString() + Convert.ToChar(candidateEdges[0][1] + 'A').ToString()
                                                + " has the minimum weight joining a vertex already included to a vertex not already included (" + min.ToString() + "),"
                                                + " therefore it has been added to the Minimum Spanning Tree.";

                        // Update Prim's algorithm
                        foreach (Vertex vertex in vertices)
                        {
                            if (vertex.GetNumberIndex() == newEdge[1])
                            {
                                weightMST             += min;
                                labelTotalWeight.Text += min.ToString() + " + ";
                                visitedVertices.Add(newEdge[1]);
                                remainingVertices.Remove(newEdge[1]);
                                EdgeFocusOn(newEdge[0], newEdge[1]);
                                exampleGraph.LabelFocusOn(newEdge[0], newEdge[1]);
                                currentStep = 3;
                                break;
                            }
                        }
                    }
                }

                // Step 3 operation
                else // if (currentStep == 3)
                {
                    // Highlight current steps
                    label1.ForeColor     = SystemColors.ControlText;
                    labelStep1.ForeColor = SystemColors.ControlText;
                    label2.ForeColor     = SystemColors.ControlText;
                    labelStep2.ForeColor = SystemColors.ControlText;
                    label3.ForeColor     = Color.Red;
                    labelStep3.ForeColor = Color.Red;

                    // Check if Prim's algorithm has finished
                    if (remainingVertices.Any())
                    {
                        labelInformation.Text = "We have not yet formed a Minimum Spanning Tree, so go back to STEP 2.";
                        currentStep           = 2;
                    }
                    else
                    {
                        labelInformation.Text    = "Now we have picked " + (mapMatrix.Count() - 1).ToString() + " edges and has formed a Minimum Spanning Tree.\nTherefore Prim's algorithm has finished.";
                        labelTotalWeight.Text    = labelTotalWeight.Text.TrimEnd(" + ".ToCharArray());
                        labelTotalWeight.Text   += " = " + weightMST.ToString();
                        labelTotalWeight.Visible = true;
                        buttonNext.Text          = "Close";
                    }
                }
            }
        }
Ejemplo n.º 6
0
        public FormPrimOnMatrix(int accountID, string username, string accountName, string accountType, int example)
        {
            InitializeComponent();

            // Show account name on the account menu.
            this.accountMenu.accountID             = accountID;
            this.accountMenu.username              = username;
            this.accountMenu.labelAccountName.Text = accountName;
            this.accountMenu.accountType           = accountType;
            this.example = example;

            // Select the correct example graph to perform the demonstration.
            if (example == 1)
            {
                exampleGraph = new MinimumSpanningTreeExample1(this.panelGraph);
            }
            else
            {
                exampleGraph = new MinimumSpanningTreeExample2(this.panelGraph);
            }

            // Initialise the example graph.
            vertices  = exampleGraph.GetVertices();
            mapMatrix = exampleGraph.GetMatrix();

            // Initialise the table for the example graph.
            for (int i = 0; i <= mapMatrix.Count(); i++)
            {
                DataGridViewColumn newColumn = new DataGridViewColumn
                {
                    CellTemplate = new DataGridViewTextBoxCell(),
                    SortMode     = System.Windows.Forms.DataGridViewColumnSortMode.NotSortable,
                    Width        = 60
                };
                if (i == 0)
                {
                    newColumn.Width = 41;
                }
                dataGridViewGraph.Columns.Add(newColumn);
            }

            int count = 1;

            for (int i = 0; i < mapMatrix.GetSize(); i++)
            {
                if (mapMatrix.IsVertexExisting(i))
                {
                    dataGridViewGraph.Columns[count].HeaderText = Convert.ToChar('A' + i).ToString();
                    dataGridViewGraph.Columns[count].Name       = "Column" + dataGridViewGraph.Columns[count].HeaderText;
                    count++;
                }
            }

            count = 0;
            this.dataGridViewGraph.RowCount = mapMatrix.Count();
            for (int i = 0; i < mapMatrix.GetSize(); i++)
            {
                if (mapMatrix.IsVertexExisting(i))
                {
                    this.dataGridViewGraph[0, count++].Value = (Convert.ToChar('A' + i)).ToString();
                }
            }

            for (int col = 1; col <= mapMatrix.Count(); col++)
            {
                for (int row = 0; row < mapMatrix.Count(); row++)
                {
                    int vStartIndex  = mapMatrix.GetVertexIndex(dataGridViewGraph.Columns[col].HeaderText);
                    int vFinishIndex = mapMatrix.GetVertexIndex(this.dataGridViewGraph[0, row].Value.ToString());
                    if (mapMatrix.ContainsEdge(vStartIndex, vFinishIndex))
                    {
                        this.dataGridViewGraph[col, row].Value = mapMatrix.GetEdge(vStartIndex, vFinishIndex);
                    }
                    else
                    {
                        this.dataGridViewGraph[col, row].Value = "-";
                    }
                }
            }
        }
Ejemplo n.º 7
0
        // Graph/Tree Traversal (Group A) is implemented here.
        private void ButtonNext_Click(object sender, EventArgs e)
        {
            if (buttonNext.Text == "Close")
            {
                this.Close();
            }
            else
            {
                labelInformation.Visible = true;
                double min;

                // Step 1 operation
                if (currentStep == 1)
                {
                    // Highlight current step
                    label1.ForeColor     = Color.Red;
                    labelStep1.ForeColor = Color.Red;
                    label2.ForeColor     = SystemColors.ControlText;
                    labelStep2.ForeColor = SystemColors.ControlText;
                    label3.ForeColor     = SystemColors.ControlText;
                    labelStep3.ForeColor = SystemColors.ControlText;
                    label4.ForeColor     = SystemColors.ControlText;
                    labelStep4.ForeColor = SystemColors.ControlText;
                    label5.ForeColor     = SystemColors.ControlText;
                    labelStep5.ForeColor = SystemColors.ControlText;

                    // Initialise Prim's algorithm
                    for (int i = 0; i < mapMatrix.GetSize(); i++)
                    {
                        if (mapMatrix.IsVertexExisting(i))
                        {
                            remainingVertices.Add(i);
                        }
                    }
                    labelInformation.Text = "Please pick a vertex of your choice:\nPlease click on the headers of the tableau.";
                    buttonNext.Enabled    = false;
                }

                // Step 2 operation
                else if (currentStep == 2)
                {
                    // Highlight current step
                    label1.ForeColor     = SystemColors.ControlText;
                    labelStep1.ForeColor = SystemColors.ControlText;
                    label2.ForeColor     = Color.Red;
                    labelStep2.ForeColor = Color.Red;
                    label3.ForeColor     = SystemColors.ControlText;
                    labelStep3.ForeColor = SystemColors.ControlText;
                    label4.ForeColor     = SystemColors.ControlText;
                    labelStep4.ForeColor = SystemColors.ControlText;
                    label5.ForeColor     = SystemColors.ControlText;
                    labelStep5.ForeColor = SystemColors.ControlText;

                    // Find minimum value of edge weight and candidate edges
                    min = double.MaxValue;
                    candidateEdges.Clear();

                    foreach (int i in visitedVertices)
                    {
                        foreach (int j in remainingVertices)
                        {
                            if (mapMatrix.ContainsEdge(i, j) && mapMatrix.GetEdge(i, j) < min) // Find minimum value of edge weight
                            {
                                min = mapMatrix.GetEdge(i, j);
                            }
                        }
                    }

                    foreach (int i in visitedVertices)
                    {
                        foreach (int j in remainingVertices)
                        {
                            if (mapMatrix.ContainsEdge(i, j) && mapMatrix.GetEdge(i, j) == min) // Find candidate edges
                            {
                                candidateEdges.Add(new int[2] {
                                    i, j
                                });
                            }
                        }
                    }

                    // Show candidate edges on the table
                    for (int i = 0; i < candidateEdges.Count; i++)
                    {
                        char v1 = Convert.ToChar(candidateEdges[i][0] + 'A');
                        char v2 = Convert.ToChar(candidateEdges[i][1] + 'A');
                        for (int col = 1; col < dataGridViewGraph.ColumnCount; col++)
                        {
                            if (dataGridViewGraph.Columns[col].HeaderText[0] == v1)
                            {
                                for (int row = 0; row < dataGridViewGraph.RowCount; row++)
                                {
                                    if (dataGridViewGraph[0, row].Value.ToString() == v2.ToString())
                                    {
                                        dataGridViewGraph[col, row].Style.ForeColor          = Color.Red;
                                        dataGridViewGraph[col, row].Style.SelectionForeColor = Color.Red;
                                    }
                                }
                            }
                        }
                    }

                    // More than two candidate edges - User operation required
                    if (candidateEdges.Count >= 2)
                    {
                        labelInformation.Text = "Edges ";
                        foreach (int[] edge in candidateEdges)
                        {
                            labelInformation.Text += Convert.ToChar(edge[0] + 'A').ToString() + Convert.ToChar(edge[1] + 'A').ToString() + ", ";
                        }
                        labelInformation.Text  = labelInformation.Text.TrimEnd(", ".ToCharArray());
                        labelInformation.Text += " have the same weight (" + min.ToString() + "). Please pick one of your choice:\n"
                                                 + "Please click on the weights in the tableau.";
                        currentStep        = 2;
                        buttonNext.Enabled = false;
                    }

                    // Only one candidate edge avaliable - No user operation needed
                    else if (candidateEdges.Count == 1)
                    {
                        newEdge = new int[2] {
                            candidateEdges[0][0], candidateEdges[0][1]
                        };
                        labelInformation.Text = "Edge " + Convert.ToChar(candidateEdges[0][0] + 'A').ToString() + Convert.ToChar(candidateEdges[0][1] + 'A').ToString()
                                                + " has the minimum weight from the uncircled entries in the marked column(s) (" + min.ToString() + "),"
                                                + " therefore it has been chosen.";
                        currentStep = 3;
                    }

                    // No candidate edge found - Algorithm about to finish
                    else
                    {
                        labelInformation.Text = "";
                        currentStep           = 3;
                    }
                }

                // Step 3 operation
                else if (currentStep == 3)
                {
                    // Highlight current step
                    label1.ForeColor     = SystemColors.ControlText;
                    labelStep1.ForeColor = SystemColors.ControlText;
                    label2.ForeColor     = SystemColors.ControlText;
                    labelStep2.ForeColor = SystemColors.ControlText;
                    label3.ForeColor     = Color.Red;
                    labelStep3.ForeColor = Color.Red;
                    label4.ForeColor     = SystemColors.ControlText;
                    labelStep4.ForeColor = SystemColors.ControlText;
                    label5.ForeColor     = SystemColors.ControlText;
                    labelStep5.ForeColor = SystemColors.ControlText;

                    // Check if Prim's algorithm has finished
                    if (candidateEdges.Count == 0)
                    {
                        labelInformation.Text = "There is no available entry to be chosen, and therefore Prim's algorithm has finished.\n"
                                                + "We have found a Minimum Spanning Tree.";
                        labelTotalWeight.Text    = labelTotalWeight.Text.TrimEnd(" + ".ToCharArray());
                        labelTotalWeight.Text   += " = " + weightMST.ToString();
                        labelTotalWeight.Visible = true;
                        buttonNext.Text          = "Close";
                    }
                    else
                    {
                        labelInformation.Text += "\nNow that we have found an entry, we should go to STEP 4.";
                        currentStep            = 4;
                    }
                }

                // Step 4 operation
                else if (currentStep == 4)
                {
                    // Highlight current step
                    label1.ForeColor     = SystemColors.ControlText;
                    labelStep1.ForeColor = SystemColors.ControlText;
                    label2.ForeColor     = SystemColors.ControlText;
                    labelStep2.ForeColor = SystemColors.ControlText;
                    label3.ForeColor     = SystemColors.ControlText;
                    labelStep3.ForeColor = SystemColors.ControlText;
                    label4.ForeColor     = Color.Red;
                    labelStep4.ForeColor = Color.Red;
                    label5.ForeColor     = SystemColors.ControlText;
                    labelStep5.ForeColor = SystemColors.ControlText;

                    // Update Prim's algorithm and show demonstration
                    labelInformation.Text = "";

                    weightMST             += mapMatrix.GetEdge(newEdge[0], newEdge[1]);
                    labelTotalWeight.Text += mapMatrix.GetEdge(newEdge[0], newEdge[1]).ToString() + " + ";
                    visitedVertices.Add(newEdge[1]);
                    remainingVertices.Remove(newEdge[1]);
                    EdgeFocusOn(newEdge[0], newEdge[1]);
                    exampleGraph.LabelFocusOn(newEdge[0], newEdge[1]);

                    char v1 = Convert.ToChar(newEdge[0] + 'A');
                    char v2 = Convert.ToChar(newEdge[1] + 'A');
                    for (int col = 1; col < dataGridViewGraph.ColumnCount; col++)
                    {
                        for (int row = 0; row < dataGridViewGraph.RowCount; row++)
                        {
                            if (dataGridViewGraph.Columns[col].HeaderText[0] == v1 && dataGridViewGraph[0, row].Value.ToString() == v2.ToString())
                            {
                                dataGridViewGraph.Columns[row + 1].HeaderCell.Style.ForeColor          = Color.Red;
                                dataGridViewGraph.Columns[row + 1].HeaderCell.Style.SelectionForeColor = Color.Red;
                                dataGridViewGraph.Columns[row + 1].HeaderCell.Value = dataGridViewGraph.Columns[row + 1].HeaderCell.Value.ToString() + " " + visitedVertices.Count.ToString();
                                dataGridViewGraph[col, row].Style.Font               = boldFont;
                                dataGridViewGraph[col, row].Style.ForeColor          = Color.Red;
                                dataGridViewGraph[col, row].Style.SelectionForeColor = Color.Red;
                            }
                            else if (dataGridViewGraph[col, row].Style.Font != boldFont)
                            {
                                dataGridViewGraph[col, row].Style.ForeColor          = SystemColors.ControlText;
                                dataGridViewGraph[col, row].Style.SelectionForeColor = SystemColors.ControlText;
                                if (visitedVertices.Contains(Convert.ToInt32(Convert.ToChar(dataGridViewGraph[0, row].Value) - 'A')))
                                {
                                    dataGridViewGraph[col, row].Style.Font = strikeoutFont;
                                }
                            }
                        }
                    }

                    currentStep = 5;
                }

                // Step 5 operation
                else // if (currentStep == 5)
                {
                    // Highlight current step
                    label1.ForeColor     = SystemColors.ControlText;
                    labelStep1.ForeColor = SystemColors.ControlText;
                    label2.ForeColor     = SystemColors.ControlText;
                    labelStep2.ForeColor = SystemColors.ControlText;
                    label3.ForeColor     = SystemColors.ControlText;
                    labelStep3.ForeColor = SystemColors.ControlText;
                    label4.ForeColor     = SystemColors.ControlText;
                    labelStep4.ForeColor = SystemColors.ControlText;
                    label5.ForeColor     = Color.Red;
                    labelStep5.ForeColor = Color.Red;

                    // Refresh and go to Step 2
                    labelInformation.Text = "";
                    currentStep           = 2;
                }
            }
        }