7. Type the answer correctly.Do not use ChatGPT.Let G be a loop-free undirected graph, where ∆ = maxv∈V {deg(v)}.a) Prove that χ(G) ≤ ∆ + 1.b) Find two types of graphs G, where χ(G) = ∆ + 1. 7. Let G be a loop-free undirected graph, where A = max,ev{deg(v)}.a) Prove that x(G) ≤ A+ 1.b) Find two types of graphs G, where x(G) = A +1.

Answered: Image /qna-images/answer/91e6f6f5-d2a6-4a10-abe4-3f358c9f4b7e.jpg

Answered: 7. Let G be a loop-free undirected…

7. Let G be a loop-free undirected graph, where A = max,ev{deg(v)}. a) Prove that x(G) ≤ A+ 1. b) Find two types of graphs G, where x(G) = A +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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Question

7. Type the answer correctly.Do not use ChatGPT.

Let G be a loop-free undirected graph, where ∆ = max_v∈V {deg(v)}.
a) Prove that χ(G) ≤ ∆ + 1.
b) Find two types of graphs G, where χ(G) = ∆ + 1.

7. Let G be a loop-free undirected graph, where A = max,ev{deg(v)}.
a) Prove that x(G) ≤ A+ 1.
b) Find two types of graphs G, where x(G) = A +1.

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