10. Let G = (V,E) be a loop-free connected undirected graph where V = {V1, V2, V3, . . ., Un}, n2, deg(v1) = 1, and deg(vi) ≥2 for 2
10. Let G = (V,E) be a loop-free connected undirected graph where V = {V1, V2, V3, . . ., Un}, n2, deg(v1) = 1, and deg(vi) ≥2 for 2
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 19E
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10. Type the answer correctly and do not use ChatGPT.
Let G = (V, E) be a loop-free connected undirected graph where V = {v1, v2, v3, . . . , vn},
n ≥ 2, deg(v1) = 1, and deg(vi) ≥ 2 for 2 ≤ i ≤ n. Prove that G must have a cycle.

Transcribed Image Text:10. Let G = (V,E) be a loop-free connected undirected graph where V = {V1, V2, V3, . . ., Un},
n2, deg(v1) = 1, and deg(vi) ≥2 for 2<i<n. Prove that G must have a cycle.
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