Calculate Betweenness centrality per node
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I am doing some calculations about centrality in graphs, and I need to calculate Betweenness Centrality in all nodes in this graph. I only have the correct answers, not any way how to do it. Been searching around for like two days, but none of my calculations are correct. Could anyone help me on HOW to calculate this?
BetweennessCentrality Graph
Don't mind the links out of the cloud, they are not counted as a part of the network.
graph-theory
asked Nov 28 '18 at 16:39
CorneliaCornelia
1
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add a comment |
$begingroup$
I am doing some calculations about centrality in graphs, and I need to calculate Betweenness Centrality in all nodes in this graph. I only have the correct answers, not any way how to do it. Been searching around for like two days, but none of my calculations are correct. Could anyone help me on HOW to calculate this?
BetweennessCentrality Graph
Don't mind the links out of the cloud, they are not counted as a part of the network.
graph-theory
asked Nov 28 '18 at 16:39
CorneliaCornelia
1
$endgroup$
$begingroup$
If I remember correctly, e.g. betweenness centrality of node 1 should be calculated as the sum over all pairs $s,t neq 1$ of the number of shortest paths between s and t containing 1, divided by the number of shortest paths between s and t. The only pair containing 1 in a shortest path is 2,6 and there are two shortest paths, so the answer for 1 should be 1/2? Does this agree with the answer given or your answer?
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– user113102
Nov 28 '18 at 17:02
add a comment |
$begingroup$
I am doing some calculations about centrality in graphs, and I need to calculate Betweenness Centrality in all nodes in this graph. I only have the correct answers, not any way how to do it. Been searching around for like two days, but none of my calculations are correct. Could anyone help me on HOW to calculate this?
BetweennessCentrality Graph
Don't mind the links out of the cloud, they are not counted as a part of the network.
graph-theory
asked Nov 28 '18 at 16:39
CorneliaCornelia
1
$endgroup$
I am doing some calculations about centrality in graphs, and I need to calculate Betweenness Centrality in all nodes in this graph. I only have the correct answers, not any way how to do it. Been searching around for like two days, but none of my calculations are correct. Could anyone help me on HOW to calculate this?
BetweennessCentrality Graph
Don't mind the links out of the cloud, they are not counted as a part of the network.
graph-theory
graph-theory
asked Nov 28 '18 at 16:39
CorneliaCornelia
1
asked Nov 28 '18 at 16:39
CorneliaCornelia
1
asked Nov 28 '18 at 16:39
CorneliaCornelia
1
asked Nov 28 '18 at 16:39
CorneliaCornelia
1
asked Nov 28 '18 at 16:39
CorneliaCornelia
1
1
$begingroup$
If I remember correctly, e.g. betweenness centrality of node 1 should be calculated as the sum over all pairs $s,t neq 1$ of the number of shortest paths between s and t containing 1, divided by the number of shortest paths between s and t. The only pair containing 1 in a shortest path is 2,6 and there are two shortest paths, so the answer for 1 should be 1/2? Does this agree with the answer given or your answer?
$endgroup$
– user113102
Nov 28 '18 at 17:02
add a comment |
$begingroup$
If I remember correctly, e.g. betweenness centrality of node 1 should be calculated as the sum over all pairs $s,t neq 1$ of the number of shortest paths between s and t containing 1, divided by the number of shortest paths between s and t. The only pair containing 1 in a shortest path is 2,6 and there are two shortest paths, so the answer for 1 should be 1/2? Does this agree with the answer given or your answer?
$endgroup$
– user113102
Nov 28 '18 at 17:02
$begingroup$
If I remember correctly, e.g. betweenness centrality of node 1 should be calculated as the sum over all pairs $s,t neq 1$ of the number of shortest paths between s and t containing 1, divided by the number of shortest paths between s and t. The only pair containing 1 in a shortest path is 2,6 and there are two shortest paths, so the answer for 1 should be 1/2? Does this agree with the answer given or your answer?
$endgroup$
– user113102
Nov 28 '18 at 17:02
$begingroup$
If I remember correctly, e.g. betweenness centrality of node 1 should be calculated as the sum over all pairs $s,t neq 1$ of the number of shortest paths between s and t containing 1, divided by the number of shortest paths between s and t. The only pair containing 1 in a shortest path is 2,6 and there are two shortest paths, so the answer for 1 should be 1/2? Does this agree with the answer given or your answer?
$endgroup$
– user113102
Nov 28 '18 at 17:02
add a comment |
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$begingroup$
If I remember correctly, e.g. betweenness centrality of node 1 should be calculated as the sum over all pairs $s,t neq 1$ of the number of shortest paths between s and t containing 1, divided by the number of shortest paths between s and t. The only pair containing 1 in a shortest path is 2,6 and there are two shortest paths, so the answer for 1 should be 1/2? Does this agree with the answer given or your answer?
$endgroup$
– user113102
Nov 28 '18 at 17:02