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2016-12-07 04:05:34 +0100 | commented answer | The interval I(u,v) between a pair of vertices u,v in graph Thank you. This is really a very good implementation to what I wanted, in addition to the performance. The only problem with this implementation is that u and v should be in the interval between them. The interval between a pair of vertices u and v is: all vertices (including u and v) that lies on all shortest paths between them. So before "for loop 2" we can append u and then after we done with "for loop 2" we can append v. |
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2016-12-04 06:18:41 +0100 | answered a question | The interval I(u,v) between a pair of vertices u,v in graph Thank you very much. That is exactly what I wanted. |
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2016-12-03 23:02:44 +0100 | asked a question | The interval I(u,v) between a pair of vertices u,v in graph Hello Everyone, I am really new to the sagemath and I need your help with finding the interval between all pair of vertices in a graph. Def: In graph G, the Interval between a pair of vertices u and v is: I(u,v)={w|d(u,v)=d(u,w)+d(w,v)} In other words, the interval between a pair of vertices u and v is : all vertices that lies on all shortest paths between them. I want to find the interval between all pairs of vertices in graph. I do not know if such function already exists in sagemath or I do need to implement my own. Thanks, Hakeem |