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

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b4, 3, Infinite

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c4, Infinite, infinite

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d4, Infinite, Infinite

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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

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

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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

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dNone of the mentioned

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


a3

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b6

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c4

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dInformation given is insufficient

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View Answer 6

All undirected Multigraphs contain eulerian cycles.


aTrue

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bFalse

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cNone of the given options

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d

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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)

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bii) and iii)

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ci) and iii)

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di) ii) and iii)

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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

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bDisjunction

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cNegation

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dTautology Checking

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View Answer Tautology Checking

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


aTrue

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bFalse

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cNone of these

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d

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View Answer True

And Inverter Graph is a type of __________


aMultigraph

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bCyclic Graph

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cDirected Acyclic Graph

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dDirected Acyclic Word Graph

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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

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bAND, OR, longest

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cOR, OR, shortest

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dAND, AND, longest

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View Answer AND, AND, longest

Two or more And Inverter Graphs can represent same function.


aTrue

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bFalse

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c None of these

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d

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View Answer True

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