Data Structures Algorithms-II MCQs

Page No. 80

A complete bipartite graph is a one in which each vertex in set X has an edge with set Y. Let n be the total number of vertices. For maximum number of edges, the total number of vertices hat should be present on set X is?


an


bn/2


cn/4


ddata insufficient


View Answer n/2

There are four students in a class namely A, B, C and D. A tells that a triangle is a bipartite graph. B tells pentagon is a bipartite graph. C tells square is a bipartite graph. D tells heptagon is a bipartite graph. Who among the following is correct?


aA


bB


cC


dD


View Answer C

A k-regular bipartite graph is the one in which degree of each vertices is k for all the vertices in the graph. Given that the bipartitions of this graph are U and V respectively. What is the relation between them?


aNumber of vertices in U=Number of vertices in V


bNumber of vertices in U not equal to number of vertices in V


c Number of vertices in U always greater than the number of vertices in V


dNothing can be said



Given G is a bipartite graph and the bipartitions of this graphs are U and V respectively. What is the relation between them?


aNumber of vertices in U = Number of vertices in V


b Sum of degrees of vertices in U = Sum of degrees of vertices in V


cNumber of vertices in U > Number of vertices in V


d Nothing can be said



Which structure can be modelled by using Bipartite graph?


aHypergraph


bPerfect Graph


cHetero Graph


dDirected Graph


View Answer Hypergraph

Every Perfect graph has forbidden graph characterization.


a True


bFalse


ceither A. or B.


d None of these


View Answer True

It is possible to have a negative chromatic number of bipartite graph.


aTrue


bFalse


ceither A. or B.


d None of these


View Answer False

What is the clique size of the line graph of bipartite graph?


a0


b1


c2


d3


View Answer 2

What is the chromatic number of compliment of line graph of bipartite graph?


a0


b1


c2


d3


View Answer 2

Which of the following has maximum clique size 2?


aPerfect graph


bTree


cHistogram


dCartesian


View Answer Perfect graph

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