GATE CSE 1995 | Graph Theory Question 81 | 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

Finite Automata and Regular Language Push Down Automata and Context Free Language Undecidability 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 Data Link Layer and Switching Network Layer Application Layer Protocol Routing Algorithm TCP UDP Sockets and Congestion Control Lan Technologies and Wi-Fi Network Security

Software Engineering

Compiler Design

Lexical Analysis Parsing Syntax Directed Translation Code Generation and Optimization

Web Technologies

General Aptitude

Verbal Ability Logical Reasoning Numerical Ability

Discrete Mathematics

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

Programming Languages

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

Computer Organization

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