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
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
Problem 1PE
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The question is about Gn
![=
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}](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F37f3f2a9-ff18-4673-a549-6ebb6d7542e5%2F14caeada-def7-4c3e-99e4-e2d2b5304e68%2Fl8exm9r_processed.png&w=3840&q=75)
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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