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Computing the distance matrix from an adjacency matrix


Connected graph, each power of adjacency matrix has zerosChecking connectivity of adjacency matrixAdjacency matrix and connectivity proofMultiplication of adjacency matrix of two graphsIs there a method to measure the similarity between undirected graph vertices?Prove that the graph is connectedAdjacency matrix graphs and symmetryCan any integer matrix be thought of as the adjacency matrix of a digraph?Compute adjacency matrix from shortest distance matrixAre all adjacency matrices of connected graph diagonalizable?













1












$begingroup$


How do I do this?



I know how to compute each matrix from a given graph but don't know how to get from one to the other and what the link between the two matrices are.



PS: for graphs that are undirected, connected and simple










share|cite|improve this question









$endgroup$







  • 1




    $begingroup$
    You need to exponentiate the adjacency matrix to a high enough power in the min-plus algebra. This is, instead of adding you take minimum and instead of multiplying you take a sum. This computation is actually the same as what you do what you 'compute it directly from the graph'.
    $endgroup$
    – user647486
    Mar 16 at 23:35
















1












$begingroup$


How do I do this?



I know how to compute each matrix from a given graph but don't know how to get from one to the other and what the link between the two matrices are.



PS: for graphs that are undirected, connected and simple










share|cite|improve this question









$endgroup$







  • 1




    $begingroup$
    You need to exponentiate the adjacency matrix to a high enough power in the min-plus algebra. This is, instead of adding you take minimum and instead of multiplying you take a sum. This computation is actually the same as what you do what you 'compute it directly from the graph'.
    $endgroup$
    – user647486
    Mar 16 at 23:35














1












1








1


1



$begingroup$


How do I do this?



I know how to compute each matrix from a given graph but don't know how to get from one to the other and what the link between the two matrices are.



PS: for graphs that are undirected, connected and simple










share|cite|improve this question









$endgroup$




How do I do this?



I know how to compute each matrix from a given graph but don't know how to get from one to the other and what the link between the two matrices are.



PS: for graphs that are undirected, connected and simple







matrices discrete-mathematics graph-theory network






share|cite|improve this question













share|cite|improve this question











share|cite|improve this question




share|cite|improve this question










asked Mar 16 at 23:30









SS007SS007

62




62







  • 1




    $begingroup$
    You need to exponentiate the adjacency matrix to a high enough power in the min-plus algebra. This is, instead of adding you take minimum and instead of multiplying you take a sum. This computation is actually the same as what you do what you 'compute it directly from the graph'.
    $endgroup$
    – user647486
    Mar 16 at 23:35













  • 1




    $begingroup$
    You need to exponentiate the adjacency matrix to a high enough power in the min-plus algebra. This is, instead of adding you take minimum and instead of multiplying you take a sum. This computation is actually the same as what you do what you 'compute it directly from the graph'.
    $endgroup$
    – user647486
    Mar 16 at 23:35








1




1




$begingroup$
You need to exponentiate the adjacency matrix to a high enough power in the min-plus algebra. This is, instead of adding you take minimum and instead of multiplying you take a sum. This computation is actually the same as what you do what you 'compute it directly from the graph'.
$endgroup$
– user647486
Mar 16 at 23:35





$begingroup$
You need to exponentiate the adjacency matrix to a high enough power in the min-plus algebra. This is, instead of adding you take minimum and instead of multiplying you take a sum. This computation is actually the same as what you do what you 'compute it directly from the graph'.
$endgroup$
– user647486
Mar 16 at 23:35











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