Answered: If a is adjacency matrix of graph G…

If a is adjacency matrix of graph G then show that A is irreducible if and only if G is connected. ((A graph is connected if there is a path between every pair of vertices).

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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If a is adjacency matrix of graph G then show that A is irreducible if and only if G is connected. ((A graph is connected if there is a path between every pair of vertices).

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