Data Structures and Algorithms-I MCQs

Page No. 52

Possible number of labelled simple Directed, Pseudo and Multigarphs exist having 2 vertices?


a3, Infinite, 4


b4, 3, Infinite


c4, Infinite, infinite


d4, Infinite, Infinite


View Answer 4, Infinite, Infinite

Which of the following statement is true.


aThere exists a Simple Graph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9


bThere exists a MultiGraph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9


cThere exists a MultiGraph as well as a Simple Graph having 10 vertices such that minimum degree of the graph is 0 and maximum degree is 9


dNone of the mentioned



Determine the number of vertices for the given Graph or Multigraph?
G is a 4-regular Graph having 12 edges.


a3


b6


c4


dInformation given is insufficient


View Answer 6

All undirected Multigraphs contain eulerian cycles.


aTrue


bFalse


cNone of the given options


d


View Answer True

Given Adjacency matrices determine which of them are Pseudo Graphs?
i) {{1,0} {0,1}}
ii) {{0,1}{1,0}}
iii) {{0,0,1}{0,1,0}{1,0,0}}


aonly i)


bii) and iii)


ci) and iii)


di) ii) and iii)


View Answer i) and iii)

Which of the following logical operation can’t be implemented by polynomial time graph manipulation algorithms using Binary Decision Diagrams?


aConjunction


bDisjunction


cNegation


dTautology Checking


View Answer Tautology Checking

The And Inverter Graph representation of a Boolean function is more efficient than the Binary Decision Diagram.


aTrue


bFalse


cNone of these


d


View Answer True

And Inverter Graph is a type of __________


aMultigraph


bCyclic Graph


cDirected Acyclic Graph


dDirected Acyclic Word Graph



Size of an And Inverter Graph is the number of _______ gates and the number of logic levels is number of ________ gates on the __________ path from a primary input to a primary output.


aAND, AND, average


bAND, OR, longest


cOR, OR, shortest


dAND, AND, longest


View Answer AND, AND, longest

Two or more And Inverter Graphs can represent same function.


aTrue


bFalse


c None of these


d


View Answer True

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