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Let n N with n > 2 and let G₁ = (V, E) be the graph with vertex set V = {V₁, V₂,..., U2n} and edge set E = {{vi, vi+1} : 1

Let n N with n > 2 and let G₁ = (V, E) be the graph with vertex set V = {V₁, V₂,..., U2n} and edge set E = {{vi, vi+1} : 1

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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= Let n N with n ≥ 2 and let G₁ = (V, E) be the graph with vertex set V and edge set E = {{vi, vi+1} : 1 ≤ i ≤ 2n − 1} U {v₁, v2n} U {{Vi, Vn+i} | 1 <i<n}. These graphs are called "wheel graphs", G₂ and G3 are drawn below. V₁ 222 12 V6 ☆ G₂ 15 V3 VA V4 How many cycles are there containing the vertex v₁? V3 Gs {V₁, V₂,..., U2n}
Transcribed Image Text:= Let n N with n ≥ 2 and let G₁ = (V, E) be the graph with vertex set V and edge set E = {{vi, vi+1} : 1 ≤ i ≤ 2n − 1} U {v₁, v2n} U {{Vi, Vn+i} | 1 <i<n}. These graphs are called "wheel graphs", G₂ and G3 are drawn below. V₁ 222 12 V6 ☆ G₂ 15 V3 VA V4 How many cycles are there containing the vertex v₁? V3 Gs {V₁, V₂,..., U2n}
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What about in the general case Gn when there is a graph with 2n vertices?

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