GATE CSE 1995 | Graph Theory Question 79 | Discrete Mathematics

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GATE CSE 1995

Subjective

-0

Prove that in a finite graph, the number of vertices of odd degree is always even.

GATE CSE 1992

Fill in the Blanks

-0

Maximum number of edges in a planar graph with $$n$$ vertices is _______ .

GATE CSE 1991

Fill in the Blanks

-0

The maximum number of possible edges in an undirected graph with a vertices and $$k$$ components is _________ .

GATE CSE 1990

MCQ (Single Correct Answer)

-0.6

A graph is planar if and only if,

it does not contain subgraphs homeomorphic to K₅ and K_{3, 3.}

it does not contain subgraphs isomorphic to K₅ or K_{3, 3.}

it does not contain subgraphs isomorphic to K₅ and K_{3, 3.}

it does not contain subgraphs homeomorphic to K₅ or K_{3, 3.}

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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