Question 2 For a graph G on verter set X and a verter v E X, we define G- v to be the induced subgraph of G with verter set X- {v}. We say that a graph G is doubly connected if for all vertices v, G-v is connected. Prove that G is doubly connected if and only if for all vertices u, v and w there is a path from u to v uhich does not go through w.

Question 2 For a graph G on verter set X and a verter v E X, we define G- v to be the induced subgraph of G with verter set X- {v}. We say that a graph G is doubly connected if for all vertices v, G-v is connected. Prove that G is doubly connected if and only if for all vertices u, v and w there is a path from u to v uhich does not go through w.

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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