1

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: $$Not\,\,\,every\,\,\,graph\,\,\,is\,\,\,connected?$$2

GATE CSE 2006

MCQ (Single Correct Answer)

+2

-0.6

The $${2^n}$$ vertices of a graph $$G$$ correspond to all subsets of a set of size $$n$$, for $$n \ge 6$$. Two vertices of $$G$$ are adjacent if and only if the corresponding sets intersect in exactly two elements.

the number of vertices of degree zero in $$G$$ is

3

GATE CSE 2006

MCQ (Single Correct Answer)

+2

-0.6

The $${2^n}$$ vertices of a graph $$G$$ correspond to all subsets of a set of size $$n$$, for $$n \ge 6$$. Two vertices of $$G$$ are adjacent if and only if the corresponding sets intersect in exactly two elements.

The maximum degree of a vertex in $$G$$ is

4

GATE CSE 2006

MCQ (Single Correct Answer)

+2

-0.6

Consider the undirected graph $$G$$ defined as follows. The vertices of $$G$$ are bit strings of length $$n$$. We have an edge between vertex $$u$$ and vertex $$v$$ if and only if $$u$$ and $$v$$ differ in exactly one bit position (in other words, $$v$$ can be obtained from $$u$$ by flipping a single bit). The ratio of the choromatic number of $$G$$ to the diameter of $$G$$ is

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)
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GATE CSE 2007 (2)
GATE CSE 2006 (3)
GATE CSE 2005 (1)
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GATE CSE 2001 (1)
GATE CSE 1995 (1)
GATE CSE 1992 (1)
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GATE CSE 1990 (1)
GATE CSE 1989 (1)

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