GATE CSE 2024 Set 1 | Graph Theory Question 3 | Discrete Mathematics

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GATE CSE 2024 Set 1

Numerical

-0.33

The number of spanning trees in a complete graph of 4 vertices labelled A, B, C, and D is __________

Your input ____

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 2

MCQ (Single Correct Answer)

-0.33

Let G be a connected undirected weighted graph. Consider the following two statements.

S₁: There exists a minimum weight edge in G which is present in every minimum spanning tree of G.

S₂: If every edge in G has distinct weight, then G has a unique minimum spanning tree. Which one of the following options is correct?

S1 is false and S2 is true.

S1 is true and S2 is false.

Both S1 and S2 are true.

Both S1 and S2 are false.

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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

Number Systems Boolean Algebra K Maps Combinational Circuits Sequential Circuits

Database Management System

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

Data Structures

Arrays Stacks and Queues Linked List Trees Graphs Hashing

Computer Networks

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

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