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An algorithm to derive the adjacency matrix of line graph $L(G)$, if you are given the adjacency matrix of $G$?


Graphs, line graph and complement of graphThe time complexity of finding a neighborhood graph provided an unordered adjacency matrixHow to construct the graph from an adjacency matrix?Software to find out adjacency matrix of a graph.A complete graph has no vertex cutCan any integer matrix be thought of as the adjacency matrix of a digraph?Why the adjacency matrix of a tree can be written as $N + N^T$ where $N$ is nilpotent?Why is the claw=$K_1,3$ not a line graph?Eigenvalues of Adjacency Matrix are Integer?Is the graph formed by GP series of adjacency matrix, Eulerian?













0












$begingroup$


Can someone please point me to an algorithm to derive the adjacency matrix of line graph $L(G)$, if you are given the adjacency matrix of $G$.



Given a graph $G$, the line graph $L(G)$ of $G$ is the graph where the vertices represent the edges of $G$, and two vertices are adjacent in $L(G)$ if the corresponding edges in $G$ share a vertex.



For those who are not familiar with line graph you can read about it here: https://en.wikipedia.org/wiki/Line_graph.



Thanks










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$endgroup$
















    0












    $begingroup$


    Can someone please point me to an algorithm to derive the adjacency matrix of line graph $L(G)$, if you are given the adjacency matrix of $G$.



    Given a graph $G$, the line graph $L(G)$ of $G$ is the graph where the vertices represent the edges of $G$, and two vertices are adjacent in $L(G)$ if the corresponding edges in $G$ share a vertex.



    For those who are not familiar with line graph you can read about it here: https://en.wikipedia.org/wiki/Line_graph.



    Thanks










    share|cite|improve this question









    New contributor




    Pranav Garg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.







    $endgroup$














      0












      0








      0





      $begingroup$


      Can someone please point me to an algorithm to derive the adjacency matrix of line graph $L(G)$, if you are given the adjacency matrix of $G$.



      Given a graph $G$, the line graph $L(G)$ of $G$ is the graph where the vertices represent the edges of $G$, and two vertices are adjacent in $L(G)$ if the corresponding edges in $G$ share a vertex.



      For those who are not familiar with line graph you can read about it here: https://en.wikipedia.org/wiki/Line_graph.



      Thanks










      share|cite|improve this question









      New contributor




      Pranav Garg is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.







      $endgroup$




      Can someone please point me to an algorithm to derive the adjacency matrix of line graph $L(G)$, if you are given the adjacency matrix of $G$.



      Given a graph $G$, the line graph $L(G)$ of $G$ is the graph where the vertices represent the edges of $G$, and two vertices are adjacent in $L(G)$ if the corresponding edges in $G$ share a vertex.



      For those who are not familiar with line graph you can read about it here: https://en.wikipedia.org/wiki/Line_graph.



      Thanks







      discrete-mathematics graph-theory






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      edited Mar 13 at 9:28









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      asked Mar 13 at 8:36









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