incidence matrix of a mixed graph

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I have read about incidence matrix of a mixed graph but without example. All examples I saw were either for undirected graphs or for directed graphs but not for mixed graph.



What will be the incidence matrix of the mixed graph below



enter image description here



Thank you.




graph-theory directed-graphs adjacency-matrix




share|cite|improve this question























    up vote
    1
    down vote

    favorite












    I have read about incidence matrix of a mixed graph but without example. All examples I saw were either for undirected graphs or for directed graphs but not for mixed graph.



    What will be the incidence matrix of the mixed graph below



    enter image description here



    Thank you.




    graph-theory directed-graphs adjacency-matrix




    share|cite|improve this question





















      up vote
      1
      down vote

      favorite









      up vote
      1
      down vote

      favorite











      I have read about incidence matrix of a mixed graph but without example. All examples I saw were either for undirected graphs or for directed graphs but not for mixed graph.



      What will be the incidence matrix of the mixed graph below



      enter image description here



      Thank you.




      graph-theory directed-graphs adjacency-matrix




      share|cite|improve this question











      I have read about incidence matrix of a mixed graph but without example. All examples I saw were either for undirected graphs or for directed graphs but not for mixed graph.



      What will be the incidence matrix of the mixed graph below



      enter image description here



      Thank you.





      graph-theory directed-graphs adjacency-matrix





      share|cite|improve this question










      share|cite|improve this question




      share|cite|improve this question









      asked Jul 16 at 17:26









      dupsy

      475




      475




















          1 Answer
          1






          active

          oldest

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          up vote
          1
          down vote













          You make $A_i,j$ equal the number of edges from $i$ to $j$.



          $beginpmatrix
          0 & 1 & 0\
          1 & 0 & 1\
          1 & 0 & 0\
          endpmatrix$






          share|cite|improve this answer





















          • I will be happy if you can further your explanation. If the adjacency matrix is the one you provided above, then the matrix did not show the direction (-1) for the arc/directed edge from the undirected edge (1)..
            – dupsy
            Jul 16 at 18:41










          • no, you do not use -1. you only use 0 and 1. But the matrix is no longer symmetric.
            – Jorge Fernández
            Jul 16 at 18:42










          • Thanks for the reply. Is the matrix you provided an incidence matrix? I need the incidence matrix of the graph.
            – dupsy
            Jul 17 at 21:10










          • yes it is$$
            – Jorge Fernández
            Jul 17 at 23:12










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          1 Answer
          1






          active

          oldest

          votes








          1 Answer
          1






          active

          oldest

          votes









          active

          oldest

          votes






          active

          oldest

          votes








          up vote
          1
          down vote













          You make $A_i,j$ equal the number of edges from $i$ to $j$.



          $beginpmatrix
          0 & 1 & 0\
          1 & 0 & 1\
          1 & 0 & 0\
          endpmatrix$






          share|cite|improve this answer





















          • I will be happy if you can further your explanation. If the adjacency matrix is the one you provided above, then the matrix did not show the direction (-1) for the arc/directed edge from the undirected edge (1)..
            – dupsy
            Jul 16 at 18:41










          • no, you do not use -1. you only use 0 and 1. But the matrix is no longer symmetric.
            – Jorge Fernández
            Jul 16 at 18:42










          • Thanks for the reply. Is the matrix you provided an incidence matrix? I need the incidence matrix of the graph.
            – dupsy
            Jul 17 at 21:10










          • yes it is$$
            – Jorge Fernández
            Jul 17 at 23:12














          up vote
          1
          down vote













          You make $A_i,j$ equal the number of edges from $i$ to $j$.



          $beginpmatrix
          0 & 1 & 0\
          1 & 0 & 1\
          1 & 0 & 0\
          endpmatrix$






          share|cite|improve this answer





















          • I will be happy if you can further your explanation. If the adjacency matrix is the one you provided above, then the matrix did not show the direction (-1) for the arc/directed edge from the undirected edge (1)..
            – dupsy
            Jul 16 at 18:41










          • no, you do not use -1. you only use 0 and 1. But the matrix is no longer symmetric.
            – Jorge Fernández
            Jul 16 at 18:42










          • Thanks for the reply. Is the matrix you provided an incidence matrix? I need the incidence matrix of the graph.
            – dupsy
            Jul 17 at 21:10










          • yes it is$$
            – Jorge Fernández
            Jul 17 at 23:12












          up vote
          1
          down vote










          up vote
          1
          down vote









          You make $A_i,j$ equal the number of edges from $i$ to $j$.



          $beginpmatrix
          0 & 1 & 0\
          1 & 0 & 1\
          1 & 0 & 0\
          endpmatrix$






          share|cite|improve this answer













          You make $A_i,j$ equal the number of edges from $i$ to $j$.



          $beginpmatrix
          0 & 1 & 0\
          1 & 0 & 1\
          1 & 0 & 0\
          endpmatrix$







          share|cite|improve this answer













          share|cite|improve this answer



          share|cite|improve this answer











          answered Jul 16 at 17:31









          Jorge Fernández

          74k1088184




          74k1088184











          • I will be happy if you can further your explanation. If the adjacency matrix is the one you provided above, then the matrix did not show the direction (-1) for the arc/directed edge from the undirected edge (1)..
            – dupsy
            Jul 16 at 18:41










          • no, you do not use -1. you only use 0 and 1. But the matrix is no longer symmetric.
            – Jorge Fernández
            Jul 16 at 18:42










          • Thanks for the reply. Is the matrix you provided an incidence matrix? I need the incidence matrix of the graph.
            – dupsy
            Jul 17 at 21:10










          • yes it is$$
            – Jorge Fernández
            Jul 17 at 23:12
















          • I will be happy if you can further your explanation. If the adjacency matrix is the one you provided above, then the matrix did not show the direction (-1) for the arc/directed edge from the undirected edge (1)..
            – dupsy
            Jul 16 at 18:41










          • no, you do not use -1. you only use 0 and 1. But the matrix is no longer symmetric.
            – Jorge Fernández
            Jul 16 at 18:42










          • Thanks for the reply. Is the matrix you provided an incidence matrix? I need the incidence matrix of the graph.
            – dupsy
            Jul 17 at 21:10










          • yes it is$$
            – Jorge Fernández
            Jul 17 at 23:12















          I will be happy if you can further your explanation. If the adjacency matrix is the one you provided above, then the matrix did not show the direction (-1) for the arc/directed edge from the undirected edge (1)..
          – dupsy
          Jul 16 at 18:41




          I will be happy if you can further your explanation. If the adjacency matrix is the one you provided above, then the matrix did not show the direction (-1) for the arc/directed edge from the undirected edge (1)..
          – dupsy
          Jul 16 at 18:41












          no, you do not use -1. you only use 0 and 1. But the matrix is no longer symmetric.
          – Jorge Fernández
          Jul 16 at 18:42




          no, you do not use -1. you only use 0 and 1. But the matrix is no longer symmetric.
          – Jorge Fernández
          Jul 16 at 18:42












          Thanks for the reply. Is the matrix you provided an incidence matrix? I need the incidence matrix of the graph.
          – dupsy
          Jul 17 at 21:10




          Thanks for the reply. Is the matrix you provided an incidence matrix? I need the incidence matrix of the graph.
          – dupsy
          Jul 17 at 21:10












          yes it is$$
          – Jorge Fernández
          Jul 17 at 23:12




          yes it is$$
          – Jorge Fernández
          Jul 17 at 23:12












           

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