Homework Help is Here – Start Your Trial Now!
Engineering
Computer Science
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.

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.

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter11: Nonlinear Programming
Section11.3: Convex And Concave Functions
Problem 13P
See similar textbooks
icon
Related questions
Question

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.
Transcribed Image Text: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.
Expert Solution
steps

Step by step

Solved in 2 steps with 14 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
Computer Science
ISBN:
9780534380588
Author:
Wayne L. Winston
Publisher:
Brooks Cole
C++ for Engineers and Scientists
C++ for Engineers and Scientists
Computer Science
ISBN:
9781133187844
Author:
Bronson, Gary J.
Publisher:
Course Technology Ptr
Fundamentals of Information Systems
Fundamentals of Information Systems
Computer Science
ISBN:
9781305082168
Author:
Ralph Stair, George Reynolds
Publisher:
Cengage Learning
CMPTR
CMPTR
Computer Science
ISBN:
9781337681872
Author:
PINARD
Publisher:
Cengage
C++ Programming: From Problem Analysis to Program…
C++ Programming: From Problem Analysis to Program…
Computer Science
ISBN:
9781337102087
Author:
D. S. Malik
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS