Use Floyd-Warshall algorithm to find negative-weight circles











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To judge whether a graph contains negative-circles, after running the Floyd-Warshall algorithm, can I deal with the problem only by scanning the diagonal elements of the matrix to find whether it has negative elements. I dont't know how to prove it...










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    down vote

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    To judge whether a graph contains negative-circles, after running the Floyd-Warshall algorithm, can I deal with the problem only by scanning the diagonal elements of the matrix to find whether it has negative elements. I dont't know how to prove it...










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      up vote
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      down vote

      favorite











      To judge whether a graph contains negative-circles, after running the Floyd-Warshall algorithm, can I deal with the problem only by scanning the diagonal elements of the matrix to find whether it has negative elements. I dont't know how to prove it...










      share|improve this question















      To judge whether a graph contains negative-circles, after running the Floyd-Warshall algorithm, can I deal with the problem only by scanning the diagonal elements of the matrix to find whether it has negative elements. I dont't know how to prove it...







      graph-theory floyd-warshall clrs floyd-cycle-finding






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      edited Nov 10 at 17:31









      Dominique Fortin

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      asked Nov 10 at 13:41









      NiaBie

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