Let T = (V, E) be a tree where |V| = n. Suppose that for each v

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Let T = (V, E) be a tree where |V| = n. Suppose that for each v ∈ V, deg(v) = 1 or deg(v) ≥ m, where m is a fixed positive integer and m ≥ 2.
(a) What is the smallest value possible for n?
(b) Prove that T has at least m pendant vertices.

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Discrete and Combinatorial Mathematics An Applied Introduction

ISBN: 978-0201726343

5th edition

Authors: Ralph P. Grimaldi

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Question Posted: Jun 21, 2016 08:52 AM

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Let T = (V, E) be a tree where |V| = n. Suppose that for each v

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a n m 1 b Let k be the number of pendant vertices i...View the full answer

Discrete and Combinatorial Mathematics An Applied Introduction

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