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

Let Graph$$(x)$$ be a predicate which denotes that $$x$$ is a graph. Let Connected$$(x)$$ be a predicate which denotes that $$x$$ is connected. Which of the following first order logic sentences

**DOES NOT**represent the statement: $$Not\,\,\,every\,\,\,graph\,\,\,is\,\,\,connected?$$Questions Asked from Graph Theory (Marks 2)

Number in Brackets after Paper Indicates No. of Questions

GATE CSE 2021 Set 1 (3)
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GATE CSE 2001 (1)
GATE CSE 1995 (1)
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GATE CSE Subjects

Discrete Mathematics

Programming Languages

Theory of Computation

Operating Systems

Computer Organization

Database Management System

Data Structures

Computer Networks

Algorithms

Compiler Design

Software Engineering

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General Aptitude