GATE CSE 2022 | Graph Theory Question 8 | Discrete Mathematics

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GATE CSE 2022

MCQ (More than One Correct Answer)

-0.33

Which of the following statements is/are TRUE for a group G?

If for all x, y $$\in$$ G, (xy)² = x²y², then G is commutative.

If for all X $$\in$$ G, x² = 1, then G is commutative. Here, 1 is the identity element of G.

If the order of G is 2, then G is commutative.

If G is commutative, then a subgroup of G need not be commutative.

GATE CSE 2022

Numerical

-0.33

Consider a simple undirected graph of 10 vertices. If the graph is disconnected, then the maximum number of edges it can have is __________.

Your input ____

GATE CSE 2021 Set 1

Numerical

-0

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

Your input ____

GATE CSE 2019

MCQ (Single Correct Answer)

-0.33

Let G be an undirected complete graph on n vertices, where n > 2. Then, the number of different Hamiltonian cycles in G is equal to

(n - 1)!

$${{\left( {n - 1} \right)!} \over 2}$$

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GATE CSE Subjects

Theory of Computation

Undecidability Finite Automata and Regular Language Push Down Automata and Context Free Language Recursively Enumerable Language and Turing Machine

Operating Systems

Process Concepts and Cpu Scheduling Synchronization and Concurrency Deadlocks Memory Management File System IO and Protection

Algorithms

Complexity Analysis and Asymptotic Notations Searching and Sorting Divide and Conquer Method Greedy Method Dynamic Programming P and NP Concepts

Digital Logic

K Maps Boolean Algebra Combinational Circuits Number Systems Sequential Circuits

Database Management System

Structured Query Language Transactions and Concurrency Functional Dependencies and Normalization Relational Algebra File Structures and Indexing Er Diagrams

Data Structures

Trees Hashing Arrays Linked List Graphs Stacks and Queues

Computer Networks

Network Security Data Link Layer and Switching Application Layer Protocol Network Layer Routing Algorithm Concepts of Layering Lan Technologies and Wi-Fi TCP UDP Sockets and Congestion Control

Software Engineering

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization

Web Technologies

General Aptitude

Numerical Ability Logical Reasoning Verbal Ability

Discrete Mathematics

Graph Theory Set Theory & Algebra Combinatorics Mathematical Logic Probability Linear Algebra Calculus

Programming Languages

Basic of Programming Language Function and Recursion Pointer and Structure in C

Computer Organization

Computer Arithmetic Memory Interfacing Machine Instructions and Addressing Modes IO Interface Pipelining Alu Data Path and Control Unit Secondary Memory