Data Structures Algorithms-II MCQs

Page No. 78

The number of colors used by a proper coloring graph is called?


a k coloring graph


bx coloring graph


cm coloring graph


dn coloring graph


View Answer k coloring graph

What is the condition for proper coloring of a graph?


atwo vertices having a common edge should not have same color


btwo vertices having a common edge should always have same color


call vertices should have a different color


dall vertices should have same color



What is the definition of graph according to graph theory?


avisual representation of data


bcollection of dots and lines


ccollection of edges


dcollection of vertices



What will be the chromatic index for a complete graph having n vertices (consider n to be an even number)?


an


bn + 1


cn – 1


d2n + 1


View Answer n – 1

What will be the chromatic index for a complete graph having n vertices (consider n to be an odd number)?


an


bn + 1


cn – 1


d2n + 1


View Answer n

Bipartite graph belongs to class 1 graphs.


aTrue


bFalse


ceither A. or B.


d None of these


View Answer True

Chromatic number of line graph is always equal to the chromatic index of the graph.


aTrue


bFalse


ceither A. or B.


d None of these


View Answer True

Calculating the chromatic index of a graph is a ______________


aP problem


bNP hard problem


cNP complete problem


dCannot be identified as any of the given problem types


View Answer NP complete problem

If chromatic number of a line graph is 4 then the chromatic index of the graph will be?


a0


b1


c4


dinformation insufficient


View Answer 4

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


a0


b1


c2


dn


View Answer 0

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