Let G (V, E) be a graph such that=• V ≥ 3,G has exactly 2 leaves, andin G all the non-leaf vertices have degree 3 or more.Prove that G has at least one cycle. You are not required to draw anything in your proof.

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Answered: Let G=(V, E) be a graph such that • V|…

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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Let G=(V, E) be a graph such that • V| ≥ 3, G has exactly 2 leaves, and in G all the non-leaf vertices have degree 3 or more. ove that G has at least one cycle. You are not required to draw anything in your proof.