Problem 2: For each graph below determine the minimum number of colors necessary to color its vertices. Justify your answer, by giving a coloring and explaining why it is not possible to use fewer colors. To give a coloring, use positive integers 1,2,... for colors and mark the color of each vertex in the box next to it. For ease of grading, assign color 1 to vertex a and color 2 to vertex b. Graph G 2 (f) d 3 1 a h (b) 2 3 Why the number of colors of G is minimized? Graph H d f b 1 (a) 2 61) Why the number of colors of H is minimized?

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
icon
Related questions
Question

please explain fully

Problem 2: For each graph below determine the minimum number of colors necessary to color
its vertices. Justify your answer, by giving a coloring and explaining why it is not possible to use
fewer colors.
To give a coloring, use positive integers 1,2,... for colors and mark the color of each vertex in
the box next to it. For case of grading, assign color 1 to vertex a and color 2 to vertex b.
Graph G
2
1 (f,
(d
1
3
a
h
b 2
3
Why the number of colors of G is minimized?
Graph H
d
(f
b
1 (a
2
Why the number of colors of H is minimized?
Transcribed Image Text:Problem 2: For each graph below determine the minimum number of colors necessary to color its vertices. Justify your answer, by giving a coloring and explaining why it is not possible to use fewer colors. To give a coloring, use positive integers 1,2,... for colors and mark the color of each vertex in the box next to it. For case of grading, assign color 1 to vertex a and color 2 to vertex b. Graph G 2 1 (f, (d 1 3 a h b 2 3 Why the number of colors of G is minimized? Graph H d (f b 1 (a 2 Why the number of colors of H is minimized?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Single source shortest path
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education