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?
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
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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?
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