Let G = (V, E) be a connected graph. Form a new graph G' by adding a

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Let G = (V, E) be a connected graph. Form a new graph G' by adding a new vertex w and for each v ∈ Van edge connecting w to v.

(a) Prove that if V[ ≥ 5 and G has an Eulerian path, then G' does not have an Eulerian path.

(b) Find all connected graphs G for which G and G' both have Eulerian paths.

Related Book For answer-question

Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Posted Date: Jul 15, 2020 04:35 AM

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Let G = (V, E) be a connected graph. Form a new graph G' by adding a

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Discrete and Combinatorial Mathematics An Applied Introduction

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