GATE CSE 2009 | Graph Theory Question 50 | Discrete Mathematics

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GATE CSE 2009

MCQ (Single Correct Answer)

-0.3

Which one of the following is TRUE for any simple connected undirected graph with more than $$2$$ vertices?

No two vertices have the same degree.

At least two vertices have the same degree.

At least three vertices have the same degree.

AA vertices have the same degree.

GATE CSE 2008

MCQ (Single Correct Answer)

-0.3

What is the chromatic number of the following graph? GATE CSE 2008 Discrete Mathematics - Graph Theory Question 71 English

$$2$$

$$3$$

$$4$$

$$5$$

GATE CSE 2008

MCQ (Single Correct Answer)

-0.3

What is the size of the smallest MIS (Maximal Independent Set) of a chain of nine nodes?

GATE CSE 2007

MCQ (Single Correct Answer)

-0.3

The height of a binary tree is the maximum number of edges in any root to leaf path. The maximum number of nodes in a binary tree of height $$h$$ is:

$${2^h} - 1$$

$${2^{h - 1}} - 1$$

$${2^{h + 1}} - 1$$

$${2^{h + 1}}$$

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GATE CSE Subjects

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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

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

Digital Logic

Boolean Algebra K Maps Combinational Circuits Number Systems 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

Function and Recursion Basic of Programming Language 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