Let T = (V,E) be a tree where |V| ≥ 2. A leaf is a vertex of degree 1. Let L be the number of leaves in T and let D = max{deg(v): vE V}. Prove that L > D.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.3: Zeros Of Polynomials
Problem 56E
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Let T
=
(V,E) be a tree where |V| ≥ 2. A leaf is a vertex of degree 1. Let L be the
number of leaves in T and let D = max{deg(v): vE V}. Prove that L > D.
Transcribed Image Text:Let T = (V,E) be a tree where |V| ≥ 2. A leaf is a vertex of degree 1. Let L be the number of leaves in T and let D = max{deg(v): vE V}. Prove that L > D.
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