Data Structures Algorithms-II MCQs

Page No. 77

The chromatic number of star graph with 3 vertices is greater than that of a tree with same number of vertices.


aTrue

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bFalse

✓


ceither A. or B.

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d None of these

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View Answer False

The chromatic number of star graph with 3 vertices is greater than that of a complete graph with 3 vertices.


aTrue

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bFalse

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ceither A. or B.

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d None of these

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View Answer False

A graph with chromatic number less than or equal to k is called?


aK chromatic

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bK colorable

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cK chromatic colorable

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dK colorable chromatic

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View Answer K colorable

What will be the chromatic number for a tree having more than 1 vertex?


a0

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b1

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c2

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dVaries with the structure and number of vertices of the tree

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View Answer 2

What will be the chromatic number for a complete graph having n vertices?


a0

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b1

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cn

✓


dn!

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View Answer n

What will be the chromatic number for a line graph having n vertices?


a0

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b1

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c2

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dn

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View Answer n

Calculating the chromatic number of a graph is a


a P problem

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bNP hard problem

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cNP complete problem

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dcannot be identified as any of the given problem types

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View Answer NP complete problem

What will be the chromatic number for an bipartite graph having n vertices?


a0

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b1

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c2

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dn

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View Answer 2

What will be the chromatic number for an empty graph having n vertices?


a0

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b1

✓


c2

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dn

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View Answer 1

What is a chromatic number?


aThe maximum number of colors required for proper edge coloring of graph

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bThe maximum number of colors required for proper vertex coloring of graph

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cThe minimum number of colors required for proper vertex coloring of graph

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dThe minimum number of colors required for proper edge coloring of graph

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