I do same simulations with randoms networks and for each network and calculates different measures such degree centrality. In the network is likely more than one node to have the highest degree value. For the calculation i used the adjacency matrix.
For these nodes I calculate the total cost and I use the following code.
for n = 1 : num_nodes
% u is the node have the highest degree value
[distanse,~] = dijkstra(treeAdj_from_adj,n,u);
Cost_of_median_tree = Cost_of_median_tree + (distanse * weight_of_vertex(u));
end
This is my results from my simulation of degree centrality :
# RC Time_execuson Total_Cost Posision_of_node Time*Cost
0.250000 0.000399 466.000000 59 0.186120
0.250000 0.000399 471.000000 85 0.188117
0.250000 0.000399 461.000000 164 0.184123
0.250000 0.000399 476.000000 189 0.190114
0.250000 0.000399 472.000000 195 0.188516
0.250000 0.000399 477.000000 198 0.190513
Nobody knows if the nodes have different total cost???