1

GATE CSE 2013

MCQ (Single Correct Answer)

+2

-0.6

The line graph $$L(G)$$ of a simple graph $$G$$ is defined as follows:

$$\,\,\,\,$$There is exactly one vertex $$v(e)$$ in $$L$$(G)$$ for each edge $$e$$ in $$G$$

$$\,\,\,\,$$ For any two edges $$e$$ and $$e'$$ in $$G$$, $$L(G)$$ has an edge between $$v(e)$$ and $$v(e')$$, if and only if $$e$$ and $$e'$$

$$\,\,\,\,$$ Which of the following statements is/are **TRUE**?

(P) The line graph of a cycle is a cycle.

(Q) The line graph of a clique is a clique.

(R) The line graph of a planar graph is planar.

(S) The line graph of a tree is a tree.

2

GATE CSE 2012

MCQ (Single Correct Answer)

+2

-0.6

Which of the following graphs is isomorphic to

3

GATE CSE 2012

MCQ (Single Correct Answer)

+2

-0.6

Let $$G$$ be a complete undirected graph on $$6$$ vertices. If vertices of $$G$$ $$\,\,\,\,$$ are labeled, then the number of distinct cycles of length $$4$$ in $$G$$ is equal to

4

GATE CSE 2010

MCQ (Single Correct Answer)

+2

-0.6

The degree sequence of a simple graph is the sequence of the degrees of the nodes in the graph in decreasing order. Which of the following sequences can not be the degree sequence of any graph?

$${\rm I}.$$$$\,\,\,\,\,7,6,5,4,4,3,2,1$$

$${\rm I}{\rm I}.$$$$\,\,\,\,\,6,6,6,6,3,3,2,2$$

$${\rm I}{\rm I}{\rm I}.$$$$\,\,\,\,\,7,6,6,4,4,3,2,2$$

$${\rm I}V.$$$$\,\,\,\,\,8,7,7,6,4,2,1,1$$

$${\rm I}.$$$$\,\,\,\,\,7,6,5,4,4,3,2,1$$

$${\rm I}{\rm I}.$$$$\,\,\,\,\,6,6,6,6,3,3,2,2$$

$${\rm I}{\rm I}{\rm I}.$$$$\,\,\,\,\,7,6,6,4,4,3,2,2$$

$${\rm I}V.$$$$\,\,\,\,\,8,7,7,6,4,2,1,1$$

Questions Asked from Graph Theory (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2024 Set 2 (1)
GATE CSE 2024 Set 1 (2)
GATE CSE 2021 Set 1 (3)
GATE CSE 2020 (1)
GATE CSE 2015 Set 2 (2)
GATE CSE 2015 Set 1 (2)
GATE CSE 2014 Set 2 (1)
GATE CSE 2014 Set 3 (2)
GATE CSE 2014 Set 1 (2)
GATE CSE 2013 (1)
GATE CSE 2012 (2)
GATE CSE 2010 (1)
GATE CSE 2008 (5)
GATE CSE 2007 (2)
GATE CSE 2006 (3)
GATE CSE 2005 (1)
GATE CSE 2004 (4)
GATE CSE 2003 (2)
GATE CSE 2001 (1)
GATE CSE 1995 (1)
GATE CSE 1992 (1)
GATE CSE 1991 (1)
GATE CSE 1990 (1)
GATE CSE 1989 (1)

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Theory of Computation

Operating Systems

Algorithms

Database Management System

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Computer Networks

Software Engineering

Compiler Design

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General Aptitude

Discrete Mathematics

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