/// <summary>
/// Method that find all graphs that correspond to Chvatal
/// and don't correspond to Posha condition
/// </summary>
public static void GetGraphsThatChvatalAndNotPosha()
{
try
{
using (StreamWriter sw = new StreamWriter(@"D:\Shared Folder\ChvatalAndPoshaGraphs.g6"))
{
for (int i = 6; i <= 8; i++)
{
using (StreamReader sr = new StreamReader(@"D:\Shared Folder\Generated G6\graphs" + i + ".g6"))
{
string s;
while ((s = sr.ReadLine()) != null)
{
int[,] matrix = Helper.DecodeGraph6(s);
List <int> vector = GetVector(matrix);
if (!HamiltonianGraphsHelper.PoshaCondition(vector) && HamiltonianGraphsHelper.ChvatalCondition(vector))
{
sw.WriteLine(s);
}
}
}
}
}
}
catch (Exception e)
{
Console.Write("Файл не может быть открыт: ");
Console.WriteLine(e.Message);
}
}
/// <summary>
/// Method that find count of hamiltonian graphs
/// and count of Ore graphs, Posha graphs and Chvatal graphs
/// </summary>
public static void GetConditionsStatistics()
{
try
{
Stopwatch stopWatch = new Stopwatch();
stopWatch.Start();
using (StreamWriter sw = new StreamWriter(@"D:\Shared Folder\conditions_statistics.txt"))
{
for (int i = 3; i <= 11; i++)
{
int ore_true = 0;
int ore_false = 0;
int posha_true = 0;
int posha_false = 0;
int chvatal_true = 0;
int chvatal_false = 0;
int hamiltonian_graph = 0;
using (StreamReader sr = new StreamReader(@"D:\Shared Folder\Generated G6\graphs" + i + ".g6"))
{
string s;
while ((s = sr.ReadLine()) != null)
{
int[,] matrix = Helper.DecodeGraph6(s);
List <int> vector = GetVector(matrix);
if (HamiltonianGraphsHelper.IsHamiltonianGraph(matrix))
{
hamiltonian_graph++;
}
if (HamiltonianGraphsHelper.OreCondition(matrix))
{
ore_true++;
}
else
{
ore_false++;
}
if (HamiltonianGraphsHelper.PoshaCondition(vector))
{
posha_true++;
}
else
{
posha_false++;
}
if (HamiltonianGraphsHelper.ChvatalCondition(vector))
{
chvatal_true++;
}
else
{
chvatal_false++;
}
}
}
sw.WriteLine("Количество {0}-вершинных гамильтоновых графов равно = {1}.", i, hamiltonian_graph);
sw.WriteLine("Количество {0}-вершинных графов, удовлетворяющих условию Оре, равно = {1}.", i, ore_true);
sw.WriteLine("Количество {0}-вершинных графов, не удовлетворяющих условию Оре, равно = {1}.\n", i, ore_false);
sw.WriteLine("Количество {0}-вершинных графов, удовлетворяющих условию Поша, равно = {1}.", i, posha_true);
sw.WriteLine("Количество {0}-вершинных графов, не удовлетворяющих условию Поша, равно = {1}.\n", i, posha_false);
sw.WriteLine("Количество {0}-вершинных графов, удовлетворяющих условию Хватала, равно = {1}.", i, chvatal_true);
sw.WriteLine("Количество {0}-вершинных графов, не удовлетворяющих условию Хватала, равно = {1}.\n", i, chvatal_false);
}
stopWatch.Stop();
TimeSpan ts = stopWatch.Elapsed;
string elapsedTime = String.Format("{0:00} дней {1:00} час {2:00} минут {3:00}.{4:00} секунд",
ts.Days, ts.Hours, ts.Minutes, ts.Seconds,
ts.Milliseconds / 10);
sw.WriteLine("\nЗатраченное время: " + elapsedTime);
}
}
catch (Exception e)
{
Console.Write("Файл не может быть открыт: ");
Console.WriteLine(e.Message);
}
}
/// <summary>
/// Method that find degrees vectors for Posha and Chvatal conditions
/// </summary>
public static void GetPoshaAndChvatalVectorStatistics()
{
StreamWriter posha_gamiltonian = new StreamWriter(@"D:\Shared Folder\posha_gamiltonian.txt");
StreamWriter posha_not_gamiltonian = new StreamWriter(@"D:\Shared Folder\posha_not_gamiltonian.txt");
StreamWriter chvatal_gamiltonian = new StreamWriter(@"D:\Shared Folder\chvatal_gamiltonian.txt");
StreamWriter chvatal_not_gamiltonian = new StreamWriter(@"D:\Shared Folder\chvatal_not_gamiltonian.txt");
int posha_true = 0;
int posha_false = 0;
int chvatal_true = 0;
int chvatal_false = 0;
List <List <int> > posha_and_hamiltonian = new List <List <int> >();
List <List <int> > chvatal_and_hamiltonian = new List <List <int> >();
List <List <int> > not_posha_but_hamiltonian = new List <List <int> >();
List <List <int> > not_chvatal_but_hamiltonian = new List <List <int> >();
try
{
using (StreamReader sr = new StreamReader(@"D:\Shared Folder\Main Results\all_vectors_are_hamiltonian.txt"))
{
string s;
while ((s = sr.ReadLine()) != null)
{
List <int> vector = s.Split(new char[] { ' ' }, StringSplitOptions.RemoveEmptyEntries).Select(Int32.Parse).ToList();
if (HamiltonianGraphsHelper.PoshaCondition(vector))
{
posha_and_hamiltonian.Add(vector);
posha_true++;
}
else
{
not_posha_but_hamiltonian.Add(vector);
posha_false++;
}
if (HamiltonianGraphsHelper.ChvatalCondition(vector))
{
chvatal_and_hamiltonian.Add(vector);
chvatal_true++;
}
else
{
not_chvatal_but_hamiltonian.Add(vector);
chvatal_false++;
}
}
}
Console.WriteLine("Количество векторов степеней, все связные реализации которых гамильтоновы и удовлетворяющих условию Поша: " + posha_true);
Console.WriteLine("Количество векторов степеней, все связные реализации которых гамильтоновы и не удовлетворяющих условию Поша: " + posha_false + "\n");
Console.WriteLine("Количество векторов степеней, все связные реализации которых гамильтоновы и удовлетворяющих условию Хватала: " + chvatal_true);
Console.WriteLine("Количество векторов степеней, все связные реализации которых гамильтоновы и не удовлетворяющих условию Хватала: " + chvatal_false + "\n");
posha_and_hamiltonian.Sort(Helper.CompareListByCount);
not_posha_but_hamiltonian.Sort(Helper.CompareListByCount);
chvatal_and_hamiltonian.Sort(Helper.CompareListByCount);
not_chvatal_but_hamiltonian.Sort(Helper.CompareListByCount);
foreach (List <int> vector in posha_and_hamiltonian)
{
string vec = Helper.GetStringVector(vector);
posha_gamiltonian.WriteLine(vec);
}
foreach (List <int> vector in not_posha_but_hamiltonian)
{
string vec = Helper.GetStringVector(vector);
posha_not_gamiltonian.WriteLine(vec);
}
foreach (List <int> vector in chvatal_and_hamiltonian)
{
string vec = Helper.GetStringVector(vector);
chvatal_gamiltonian.WriteLine(vec);
}
foreach (List <int> vector in not_chvatal_but_hamiltonian)
{
string vec = Helper.GetStringVector(vector);
chvatal_not_gamiltonian.WriteLine(vec);
}
posha_gamiltonian.Close();
posha_not_gamiltonian.Close();
chvatal_gamiltonian.Close();
chvatal_not_gamiltonian.Close();
}
catch (Exception e)
{
Console.Write("Файл не может быть открыт: ");
Console.WriteLine(e.Message);
}
}
/// <summary>
/// Method that find all degrees vectors, that
/// all connected implementations are hamiltonian
/// </summary>
public static void GetAllHamiltonianVectors()
{
try
{
List <string> all_gamiltonian_vectors = new List <string>();
List <string> not_gamiltonian = new List <string>();
for (int i = 3; i <= 11; i++)
{
using (StreamReader sr = new StreamReader(@"D:\Shared Folder\Generated G6\graphs" + i + ".g6"))
{
string s;
while ((s = sr.ReadLine()) != null)
{
int[,] matrix = Helper.DecodeGraph6(s);
string vector = Helper.GetStringVector(GetVector(matrix));
if (HamiltonianGraphsHelper.IsHamiltonianGraph(matrix) && !all_gamiltonian_vectors.Contains(vector) &&
!not_gamiltonian.Contains(vector))
{
all_gamiltonian_vectors.Add(vector);
}
if (!HamiltonianGraphsHelper.IsHamiltonianGraph(matrix) && !not_gamiltonian.Contains(vector))
{
not_gamiltonian.Add(vector);
}
}
}
}
foreach (string vector in not_gamiltonian)
{
if (all_gamiltonian_vectors.Contains(vector))
{
all_gamiltonian_vectors.Remove(vector);
}
}
Console.WriteLine("Количество векторов степеней, все реализации которых гамильтоновы: " + all_gamiltonian_vectors.Count);
List <List <int> > gamiltonesVectors = new List <List <int> >();
foreach (string v in all_gamiltonian_vectors)
{
List <int> vector = v.Split(new char[] { ' ' }, StringSplitOptions.RemoveEmptyEntries).Select(Int32.Parse).ToList();
gamiltonesVectors.Add(vector);
}
gamiltonesVectors.Sort(Helper.CompareListByCount);
using (StreamWriter sw = new StreamWriter(@"D:\Shared Folder\gamiltones_vectors.txt"))
{
foreach (List <int> s in gamiltonesVectors)
{
string vec = Helper.GetStringVector(s);
sw.WriteLine(vec);
}
}
}
catch (Exception e)
{
Console.Write("Файл не может быть открыт: ");
Console.WriteLine(e.Message);
}
}