4. Define the incidence matrix B of a directed graph with no self-loop to be an n x m matrix with rows indexed by vertices, column indexed by edges such that if edge j leaves vertex i, if edge j enters vertex i, otherwise. Let BT be the transpose of matrix B. Find out what the entries of the n x n matrix BBT stand for. Bij -1 1 0

4. Define the incidence matrix B of a directed graph with no self-loop to be an n x m matrix with rows indexed by vertices, column indexed by edges such that if edge j leaves vertex i, if edge j enters vertex i, otherwise. Let BT be the transpose of matrix B. Find out what the entries of the n x n matrix BBT stand for. Bij -1 1 0

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

4.
Define the incidence matrix B of a directed graph with no self-loop to be an n x m matrix
with rows indexed by vertices, column indexed by edges such that
if edge j leaves vertex i,
if edge jenters vertex i,
otherwise.
Let BT be the transpose of matrix B. Find out what the entries of the n x n matrix BBT stand for.
Bij
1
0

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