/// <summary>
/// Starting run algorithm with specific source topology and K-diameter cut,
/// and this round process will generate scope topology to scop_net_topo,
/// and will add the deployment node to deployNodes structure.
/// Finally, it will return the remain network topology with this process.
/// </summary>
/// <param name="src_net_topo">The source network topology</param>
/// <param name="scope_net_topo">This round process that generte scope topology</param>
/// <param name="nowDeployNodes">The result of the deployment node id</param>
/// <returns>The remain network topology after process the algorithm.</returns>
private NetworkTopology startAlgorithm(NetworkTopology src_net_topo, NetworkTopology scope_net_topo, List <int> nowDeployNodes)
{
List <int> neighbor = new List <int>();
int selectNode = scope_net_topo.Nodes[0].ID;
while (true)
{
//if (scope_net_topo.Nodes.Count >= 2 * N - upperBoundOfMinDegree)
// break;
neighbor.Remove(selectNode);
neighbor.AddRange(src_net_topo.GetNeighborNodeIDs(selectNode).Except(scope_net_topo.Nodes.Select(n => n.ID)));
neighbor = neighbor.Distinct().ToList();
NetworkTopology concentrate_topo = new NetworkTopology(src_net_topo.Nodes);
concentrate_topo.AdjacentMatrix = src_net_topo.AdjacentMatrix;
concentrate_topo.Nodes.AddRange(src_net_topo.Nodes.Except(scope_net_topo.Nodes.Where(n => n.ID != scope_net_topo.Nodes[0].ID)));
concentrate_topo.Edges.AddRange(src_net_topo.Edges.Where(e => !scope_net_topo.Nodes.Exists(n => n.ID == e.Node1 || n.ID == e.Node2)));
foreach (int id in neighbor)
{
concentrate_topo.Edges.Add(new NetworkTopology.Edge()
{
Node1 = id, Node2 = scope_net_topo.Nodes[0].ID
});
}
selectNode = -1;
List <int> tmp = new List <int>(neighbor);
//neighbor.Sort((x, y) => concentrate_topo.ClusteringCoefficient(scope_net_topo, x).CompareTo(concentrate_topo.ClusteringCoefficient(scope_net_topo, y)));
for (int i = neighbor.Count - 1; i >= 0; i--)
{
int max_hop_count = int.MinValue;
double maxC = double.MinValue;
foreach (int id in tmp)
{
double tmpC = concentrate_topo.ClusteringCoefficient(scope_net_topo, id);
if (tmpC > maxC)
{
maxC = tmpC;
selectNode = id;
}
}
tmp.Remove(selectNode);
foreach (var scopeNode in scope_net_topo.Nodes)
{
int hop_count = scope_net_topo.GetShortestPathCount(scopeNode.ID, selectNode) - 1;
if (max_hop_count < hop_count)
{
max_hop_count = hop_count;
}
}
if (max_hop_count <= K - 1)
{
break;
}
else
{
selectNode = -1;
}
}
//if (scope_net_topo.Nodes.Count < upperBoundOfMinDegree)
//{
// int minD = int.MaxValue;
// foreach (int id in neighbor)
// {
// int tmpD = src_net_topo.Nodes.Find(n => n.ID == id).Degree;
// if (minD > tmpD)
// {
// minD = tmpD;
// selectNode = id;
// }
// }
//}
//else
//{
//double maxC = double.MinValue;
//foreach (int id in neighbor)
//{
// double tmpc = concentrate_topo.ClusteringCoefficeint(id);
// if (maxC < tmpc)
// {
// maxC = tmpc;
// selectNode = id;
// }
//}
//if (scope_net_topo.Nodes.Count >= N && maxC < 0.6)
// selectNode = -1;
//}
// if nothing found, break the loop.
if (selectNode == -1)
{
break;
}
// adding the node to the scope set, and computing the max hop count.
else
{
scope_net_topo.Edges.AddRange(src_net_topo.Edges.Where(e =>
e.Node1 == selectNode && scope_net_topo.Nodes.Exists(n => n.ID == e.Node2) ||
e.Node2 == selectNode && scope_net_topo.Nodes.Exists(n => n.ID == e.Node1)
));
scope_net_topo.Nodes.Add(src_net_topo.Nodes.Find(n => n.ID == selectNode));
//foreach (var scopeNode in scope_net_topo.Nodes)
//{
// int hop_count = scope_net_topo.GetShortestPathCount(scopeNode.ID, selectNode);
// if (max_hop_count < hop_count)
// max_hop_count = hop_count;
//}
}
}
NetworkTopology remain_topo;
// Handling the neighbor nodes of each node in the scope network topology.
if (selectNode != -1)
{
neighbor.Remove(selectNode);
neighbor.AddRange(src_net_topo.GetNeighborNodeIDs(selectNode).Except(scope_net_topo.Nodes.Select(n => n.ID)));
neighbor = neighbor.Distinct().ToList();
}
// During above process the tmp list will be deployment nodes, and add to deployNodes list.
nowDeployNodes.AddRange(neighbor);
// Adding deploy nodes to the scope network topology.
foreach (int id in neighbor)
{
scope_net_topo.Edges.AddRange(src_net_topo.Edges.Where(e =>
e.Node1 == id && scope_net_topo.Nodes.Exists(n => n.ID == e.Node2) ||
e.Node2 == id && scope_net_topo.Nodes.Exists(n => n.ID == e.Node1)
));
scope_net_topo.Nodes.Add(src_net_topo.Nodes.Find(n => n.ID == id));
}
// Computing the complement set between source and scope network topology.
remain_topo = src_net_topo - scope_net_topo;
// Removing deployment nodes and edges from scope network topology.
foreach (int id in neighbor)
{
scope_net_topo.Nodes.RemoveAll(x => x.ID == id);
scope_net_topo.Edges.RemoveAll(x => x.Node1 == id || x.Node2 == id);
}
return(remain_topo);
}
/// <summary>
/// Starting run algorithm with specific source topology and K-diameter cut,
/// and this round process will generate scope topology to scop_net_topo,
/// and will add the deployment node to deployNodes structure.
/// Finally, it will return the remain network topology with this process.
/// </summary>
/// <param name="src_net_topo">The source network topology</param>
/// <param name="scope_net_topo">This round process that generte scope topology</param>
/// <param name="nowDeployNodes">The result of the deployment node id</param>
/// <returns>The remain network topology after process the algorithm.</returns>
private NetworkTopology startAlgorithm(NetworkTopology src_net_topo, NetworkTopology scope_net_topo, List <int> nowDeployNodes)
{
List <NeighborIDWithMaxHopCount> neighbor = new List <NeighborIDWithMaxHopCount>();
int selectNode = scope_net_topo.Nodes[0].ID;
int now_hop_count = 0;
while (true)
{
neighbor.RemoveAll(n => n.NodeID == selectNode);
foreach (int id in src_net_topo.GetNeighborNodeIDs(selectNode).Except(scope_net_topo.Nodes.Select(n => n.ID)))
{
neighbor.Add(new NeighborIDWithMaxHopCount()
{
NodeID = id, HopCount = int.MinValue
});
}
//neighbor.AddRange(src_net_topo.GetNeighborNodeIDs(selectNode).Except(scope_net_topo.Nodes.Select(n => n.ID)));
neighbor = neighbor.GroupBy(n => n.NodeID).Select(n => n.First()).ToList();
NetworkTopology concentrate_topo = new NetworkTopology(src_net_topo.Nodes);
concentrate_topo.AdjacentMatrix = src_net_topo.AdjacentMatrix;
concentrate_topo.Nodes.AddRange(src_net_topo.Nodes.Except(scope_net_topo.Nodes.Where(n => n.ID != scope_net_topo.Nodes[0].ID)));
concentrate_topo.Edges.AddRange(src_net_topo.Edges.Where(e => !scope_net_topo.Nodes.Exists(n => n.ID == e.Node1 || n.ID == e.Node2)));
foreach (int id in neighbor.Select(n => n.NodeID))
{
concentrate_topo.Edges.Add(new NetworkTopology.Edge()
{
Node1 = id, Node2 = scope_net_topo.Nodes[0].ID
});
}
selectNode = -1;
//neighbor.Sort((x, y) => concentrate_topo.ClusteringCoefficient(x).CompareTo(concentrate_topo.ClusteringCoefficient(y)));
if (now_hop_count < K / 2)
{
Dictionary <int, double> tmp = new Dictionary <int, double>();
foreach (int id in neighbor.Where(n => n.HopCount == int.MinValue).Select(n => n.NodeID))
{
tmp.Add(id, concentrate_topo.ClusteringCoefficient(id));
}
for (int i = 0; i < tmp.Count;)
{
int max_hop_count = int.MinValue;
selectNode = tmp.Aggregate((kvp1, kvp2) => kvp1.Value >= kvp2.Value ? kvp1 : kvp2).Key;
tmp.Remove(selectNode);
NeighborIDWithMaxHopCount nowNode = neighbor.Find(n => n.NodeID == selectNode);
if (nowNode.HopCount == int.MinValue)
{
foreach (var scopeNode in scope_net_topo.Nodes)
{
int hop_count = scope_net_topo.GetShortestPathCount(scopeNode.ID, selectNode) - 1;
if (max_hop_count < hop_count)
{
max_hop_count = hop_count;
}
}
nowNode.HopCount = max_hop_count;
}
else
{
max_hop_count = nowNode.HopCount;
}
now_hop_count = max_hop_count;
if (now_hop_count <= K - 1)
{
break;
}
else
{
selectNode = -1;
}
}
}
else
{
Dictionary <int, int> tmp = new Dictionary <int, int>();
foreach (int id in neighbor.Where(n => n.HopCount == int.MinValue).Select(n => n.NodeID))
{
tmp.Add(id, src_net_topo.Degree(id));
}
for (int i = 0; i < tmp.Count;)
{
int max_hop_count = int.MinValue;
selectNode = tmp.Aggregate((kvp1, kvp2) => kvp1.Value <= kvp2.Value ? kvp1 : kvp2).Key;
tmp.Remove(selectNode);
NeighborIDWithMaxHopCount nowNode = neighbor.Find(n => n.NodeID == selectNode);
if (nowNode.HopCount == int.MinValue)
{
foreach (var scopeNode in scope_net_topo.Nodes)
{
int hop_count = scope_net_topo.GetShortestPathCount(scopeNode.ID, selectNode) - 1;
if (max_hop_count < hop_count)
{
max_hop_count = hop_count;
}
}
nowNode.HopCount = max_hop_count;
}
else
{
max_hop_count = nowNode.HopCount;
}
now_hop_count = max_hop_count;
if (now_hop_count <= K - 1)
{
break;
}
else
{
selectNode = -1;
}
}
}
// if nothing found, break the loop.
if (selectNode == -1)
{
break;
}
// adding the node to the scope set, and computing the max hop count.
else
{
scope_net_topo.Edges.AddRange(src_net_topo.Edges.Where(e =>
e.Node1 == selectNode && scope_net_topo.Nodes.Exists(n => n.ID == e.Node2) ||
e.Node2 == selectNode && scope_net_topo.Nodes.Exists(n => n.ID == e.Node1)
));
scope_net_topo.Nodes.Add(src_net_topo.Nodes.Find(n => n.ID == selectNode));
}
}
NetworkTopology remain_topo;
// Handling the neighbor nodes of each node in the scope network topology.
if (selectNode != -1)
{
neighbor.RemoveAll(n => n.NodeID == selectNode);
foreach (int id in src_net_topo.GetNeighborNodeIDs(selectNode).Except(scope_net_topo.Nodes.Select(n => n.ID)))
{
neighbor.Add(new NeighborIDWithMaxHopCount()
{
NodeID = id, HopCount = int.MinValue
});
}
//neighbor.AddRange(src_net_topo.GetNeighborNodeIDs(selectNode).Except(scope_net_topo.Nodes.Select(n => n.ID)));
neighbor = neighbor.GroupBy(n => n.NodeID).Select(n => n.First()).ToList();
}
// During above process the tmp list will be deployment nodes, and add to deployNodes list.
nowDeployNodes.AddRange(neighbor.Select(n => n.NodeID));
// Adding deploy nodes to the scope network topology.
foreach (int id in neighbor.Select(n => n.NodeID))
{
scope_net_topo.Edges.AddRange(src_net_topo.Edges.Where(e =>
e.Node1 == id && scope_net_topo.Nodes.Exists(n => n.ID == e.Node2) ||
e.Node2 == id && scope_net_topo.Nodes.Exists(n => n.ID == e.Node1)
));
scope_net_topo.Nodes.Add(src_net_topo.Nodes.Find(n => n.ID == id));
}
// Computing the complement set between source and scope network topology.
remain_topo = src_net_topo - scope_net_topo;
// Removing deployment nodes and edges from scope network topology.
foreach (int id in neighbor.Select(n => n.NodeID))
{
scope_net_topo.Nodes.RemoveAll(x => x.ID == id);
scope_net_topo.Edges.RemoveAll(x => x.Node1 == id || x.Node2 == id);
}
return(remain_topo);
}
/// <summary>
/// Starting run algorithm with specific source topology and K-diameter cut,
/// and this round process will generate scope topology to scop_net_topo,
/// and will add the deployment node to deployNodes structure.
/// Finally, it will return the remain network topology with this process.
/// </summary>
/// <param name="src_net_topo">The source network topology</param>
/// <param name="scope_net_topo">This round process that generte scope topology</param>
/// <param name="nowDeployNodes">The result of the deployment node id</param>
/// <returns>The remain network topology after process the algorithm.</returns>
private NetworkTopology startAlgorithm(NetworkTopology src_net_topo, NetworkTopology scope_net_topo, List <int> nowDeployNodes)
{
List <NeighborIDWithMaxHopCount> neighbor = new List <NeighborIDWithMaxHopCount>();
int selectNode = scope_net_topo.Nodes[0].ID;
while (true)
{
neighbor.RemoveAll(n => n.NodeID == selectNode);
foreach (int id in src_net_topo.GetNeighborNodeIDs(selectNode).Except(scope_net_topo.Nodes.Select(n => n.ID)))
{
neighbor.Add(new NeighborIDWithMaxHopCount()
{
NodeID = id, HopCount = int.MinValue
});
}
//neighbor.AddRange(src_net_topo.GetNeighborNodeIDs(selectNode).Except(scope_net_topo.Nodes.Select(n => n.ID)));
neighbor = neighbor.GroupBy(n => n.NodeID).Select(n => n.First()).ToList();
NetworkTopology concentrate_topo = new NetworkTopology(src_net_topo.Nodes);
concentrate_topo.AdjacentMatrix = src_net_topo.AdjacentMatrix;
concentrate_topo.Nodes.AddRange(src_net_topo.Nodes.Except(scope_net_topo.Nodes.Where(n => n.ID != scope_net_topo.Nodes[0].ID)));
concentrate_topo.Edges.AddRange(src_net_topo.Edges.Where(e => !scope_net_topo.Nodes.Exists(n => n.ID == e.Node1 || n.ID == e.Node2)));
foreach (int id in neighbor.Select(n => n.NodeID))
{
concentrate_topo.Edges.Add(new NetworkTopology.Edge()
{
Node1 = id, Node2 = scope_net_topo.Nodes[0].ID
});
}
selectNode = -1;
Dictionary <int, double> tmp = new Dictionary <int, double>();
foreach (int id in neighbor.Where(n => n.HopCount == int.MinValue).Select(n => n.NodeID))
{
tmp.Add(id, concentrate_topo.ClusteringCoefficient(id));
}
//neighbor.Sort((x, y) => concentrate_topo.ClusteringCoefficient(x).CompareTo(concentrate_topo.ClusteringCoefficient(y)));
for (int i = 0; i < tmp.Count;)
{
int max_hop_count = int.MinValue;
selectNode = tmp.Aggregate((kvp1, kvp2) => kvp1.Value >= kvp2.Value ? kvp1 : kvp2).Key;
tmp.Remove(selectNode);
NeighborIDWithMaxHopCount nowNode = neighbor.Find(n => n.NodeID == selectNode);
if (nowNode.HopCount == int.MinValue)
{
foreach (var scopeNode in scope_net_topo.Nodes)
{
int hop_count = scope_net_topo.GetShortestPathCount(scopeNode.ID, selectNode) - 1;
if (max_hop_count < hop_count)
{
max_hop_count = hop_count;
}
}
nowNode.HopCount = max_hop_count;
}
else
{
max_hop_count = nowNode.HopCount;
}
if (max_hop_count <= K - 1)
{
break;
}
else
{
selectNode = -1;
}
}
// if nothing found, break the loop.
if (selectNode == -1)
{
break;
}
// if K <= Diameter/2, checking the degree of selected node wether or not greater than threshold.
else if (K <= Math.Ceiling(src_net_topo.Diameter / 2.0))
{
List <NetworkTopology.Node> remain_nodes = src_net_topo.Nodes.Except(scope_net_topo.Nodes).ToList();
double avg = remain_nodes.Average(n => src_net_topo.Degree(n.ID));
double std = Math.Sqrt(remain_nodes.Sum(n => Math.Pow(src_net_topo.Degree(n.ID) - avg, 2)) / (double)remain_nodes.Count);
double ratio_k = (double)K / (double)src_net_topo.Diameter;
int threshold = Convert.ToInt32(Math.Round(avg + std * ratio_k, MidpointRounding.AwayFromZero));
//if (src_net_topo.Degree(selectNode) >= src_net_topo.Nodes.Except(scope_net_topo.Nodes).Average(n => src_net_topo.Degree(n.ID)) + K / 2)
if (src_net_topo.Degree(selectNode) > threshold)
{
selectNode = -1;
break;
}
}
// adding the node to the scope set, and computing the max hop count.
scope_net_topo.Edges.AddRange(src_net_topo.Edges.Where(e =>
e.Node1 == selectNode && scope_net_topo.Nodes.Exists(n => n.ID == e.Node2) ||
e.Node2 == selectNode && scope_net_topo.Nodes.Exists(n => n.ID == e.Node1)
));
scope_net_topo.Nodes.Add(src_net_topo.Nodes.Find(n => n.ID == selectNode));
}
NetworkTopology remain_topo;
// Handling the neighbor nodes of each node in the scope network topology.
if (selectNode != -1)
{
neighbor.RemoveAll(n => n.NodeID == selectNode);
foreach (int id in src_net_topo.GetNeighborNodeIDs(selectNode).Except(scope_net_topo.Nodes.Select(n => n.ID)))
{
neighbor.Add(new NeighborIDWithMaxHopCount()
{
NodeID = id, HopCount = int.MinValue
});
}
//neighbor.AddRange(src_net_topo.GetNeighborNodeIDs(selectNode).Except(scope_net_topo.Nodes.Select(n => n.ID)));
neighbor = neighbor.GroupBy(n => n.NodeID).Select(n => n.First()).ToList();
}
// During above process the tmp list will be deployment nodes, and add to deployNodes list.
nowDeployNodes.AddRange(neighbor.Select(n => n.NodeID));
// Adding deploy nodes to the scope network topology.
foreach (int id in neighbor.Select(n => n.NodeID))
{
scope_net_topo.Edges.AddRange(src_net_topo.Edges.Where(e =>
e.Node1 == id && scope_net_topo.Nodes.Exists(n => n.ID == e.Node2) ||
e.Node2 == id && scope_net_topo.Nodes.Exists(n => n.ID == e.Node1)
));
scope_net_topo.Nodes.Add(src_net_topo.Nodes.Find(n => n.ID == id));
}
// Computing the complement set between source and scope network topology.
remain_topo = src_net_topo - scope_net_topo;
// Removing deployment nodes and edges from scope network topology.
foreach (int id in neighbor.Select(n => n.NodeID))
{
scope_net_topo.Nodes.RemoveAll(x => x.ID == id);
scope_net_topo.Edges.RemoveAll(x => x.Node1 == id || x.Node2 == id);
}
return(remain_topo);
}