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. 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

Problem Statement:Let G=(V,E)G = (V, E)G=(V,E) be a loop-free, connected, undirected graph…

Answered: 10. Let G = (V,E) be a loop-free…

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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Question

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, . . . , v_n},
n ≥ 2, deg(v₁) = 1, and deg(vi) ≥ 2 for 2 ≤ i ≤ n. Prove that G must have a cycle.

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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10. 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.
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8. Answer these two questions:
Find a maximum matching of G. Show your working. Show that the matching you have found is indeed a maximum matching.
Please solve as much as you can
a,b,c
please urgntly