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


bFalse


ceither A. or B.


d None of these


View Answer False

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


aTrue


bFalse


ceither A. or B.


d None of these


View Answer False

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


aK chromatic


bK colorable


cK chromatic colorable


dK colorable chromatic


View Answer K colorable

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


a0


b1


c2


dVaries with the structure and number of vertices of the tree


View Answer 2

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


a0


b1


cn


dn!


View Answer n

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


a0


b1


c2


dn


View Answer n

Calculating the chromatic number of a graph is a


a P problem


bNP hard problem


cNP complete problem


dcannot be identified as any of the given problem types


View Answer NP complete problem

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


a0


b1


c2


dn


View Answer 2

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


a0


b1


c2


dn


View Answer 1

What is a chromatic number?


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


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


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


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



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