The incidence matrix of a directed graph G = (V, E) with no self-loops is a |V|× |E| matrix B= (bij) such that bij = -1 1 0 if edge j leaves vertex i, if edge j enters vertex i, otherwise. Describe what the entries of the matrix product BBT represent, where BT is the transpose of B.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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The incidence matrix of a directed graph G = (V, E) with no self-loops is a
|V|× |E| matrix B= (bij) such that
X
-1 if edge j leaves vertex i,
bij
=
1 if edge jenters vertex i,
otherwise.
0
Describe what the entries of the matrix product BBT represent, where BT is the
transpose of B.
Transcribed Image Text:The incidence matrix of a directed graph G = (V, E) with no self-loops is a |V|× |E| matrix B= (bij) such that X -1 if edge j leaves vertex i, bij = 1 if edge jenters vertex i, otherwise. 0 Describe what the entries of the matrix product BBT represent, where BT is the transpose of B.
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