1

GATE CSE 2008

MCQ (Single Correct Answer)

+2

-0.6

$$G$$ is a graph on $$n$$ vertices and $$2n-2$$ edges. The edges of $$G$$ can be partitioned into two edge-disjoint spanning trees. Which of the following in NOT true for $$G$$?

2

GATE CSE 2008

MCQ (Single Correct Answer)

+2

-0.6

A binary tree with $$n>1$$ nodes has $${n_1}$$, $${n_2}$$ and $${n_3}$$ nodes of degree one, two and three respectively. The degree of a node is defined as the number of its neighbours.

$${n_3}$$ can be expressed as:

3

GATE CSE 2008

MCQ (Single Correct Answer)

+2

-0.6

A binary tree with $$n>1$$ nodes has $${n_1}$$, $${n_2}$$ and $${n_3}$$ nodes of degree one, two and three respectively. The degree of a node is defined as the number of its neighbours.

Starting with the above tree, while there remains a node $$v$$ of degree two in the tree, add an edge between the two neighbours of $$v$$ and then remove $$v$$ from the tree. How many edges will remain at the end of the process?

4

GATE CSE 2007

MCQ (Single Correct Answer)

+2

-0.6

Which of the following graphs has an Eulerian circuit?

Questions Asked from Graph Theory (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

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)

GATE CSE Subjects

Theory of Computation

Operating Systems

Algorithms

Database Management System

Data Structures

Computer Networks

Software Engineering

Compiler Design

Web Technologies

General Aptitude

Discrete Mathematics

Programming Languages