1

GATE CSE 2021 Set 1

Numerical

+2

-0.67

In an undirected connected planar graph G, there are eight vertices and five faces. The number of edges in G is ______

Your input ____

2

GATE CSE 2020

Numerical

+2

-0.67

Graph G is obtained by adding vertex s to K

_{3,4}and making s adjacent to every vertex of K_{3,4}. The minimum number of colours required to edge-colour G is _____.Your input ____

3

GATE CSE 2015 Set 1

MCQ (Single Correct Answer)

+2

-0.6

Suppose L = { p, q, r, s, t } is a lattice represented by the following Hasse diagram:
For any $$x, y ∈ L$$, not necessarily distinct, $$x ∨ y$$ and x ∧ y are join and meet of x, y, respectively. Let $$L^3 = \left\{\left(x, y, z\right): x, y, z ∈ L\right\}$$ be the set of all ordered triplets of the elements of L. Let p

_{r}be the probability that an element $$\left(x, y,z\right) ∈ L^3$$ chosen equiprobably satisfies $$x ∨ (y ∧ z) = (x ∨ y) ∧ (x ∨ z)$$. Then4

GATE CSE 2015 Set 1

Numerical

+2

-0

Let G be a connected planar graph with 10 vertices. If the number of edges on each face is three, then the number of edges in G is ___________.

Your input ____

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 1 (2)
GATE CSE 2015 Set 2 (2)
GATE CSE 2014 Set 1 (2)
GATE CSE 2014 Set 3 (2)
GATE CSE 2014 Set 2 (1)
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