Discrete Mathematics
Set Theory & Algebra
Marks 1Marks 2Marks 5
Linear Algebra
Marks 1Marks 2
Combinatorics
Marks 1Marks 2
Mathematical Logic
Marks 1Marks 2Marks 5
Probability
Marks 1Marks 2
1
GATE CSE 2020
Numerical
+2
-0
Graph G is obtained by adding vertex s to K3,4 and making s adjacent to every vertex of K3,4. The minimum number of colours required to edge-colour G is _____.
Your input ____
2
GATE CSE 2019
MCQ (Single Correct Answer)
+2
-0.67

Let G be any connected, weighted, undirected graph.

I. G has a unique minimum spanning tree, if no two edges of G have the same weight.

II. G has a unique minimum spanning tree, if, for every cut of G, there is a unique minimum-weight edge crossing the cut.

Which of the above two statements is/are TRUE?

A

I only

B

II only

C

Both I and II

D

Neither I nor II

3
GATE CSE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
A graph is self-complementary if it is isomorphic to its complement. For all self-complementary graphs on $$n$$ vertices, $$n$$ is
A
A multiple of $$4$$
B
Even
C
Odd
D
Congruent to $$0$$ $$mod$$ $$4$$, or, $$1$$ $$mod$$ $$4.$$
4
GATE CSE 2015 Set 2
MCQ (Single Correct Answer)
+2
-0.6
In a connected graph, bridge is an edge whose removal disconnects a graph. Which one of the following statements is true?
A
A tree has no bridges
B
A bridge cannot be part of a simple cycle
C
Every edge of a clique with size $$ \ge 3$$ is a bridge (A clique is any complete sub-graph of a graph )
D
A graph with bridges cannot have a cycle
GATE CSE Subjects
Theory of Computation
Operating Systems
Algorithms
Digital Logic
Database Management System
Data Structures
Computer Networks
Software Engineering
Compiler Design
Web Technologies
General Aptitude
Discrete Mathematics
Programming Languages
Computer Organization