GATE CSE 2015 Set 1 | Graph Theory Question 26 | Discrete Mathematics

GATE CSE 2015 Set 1

Numerical

-0

Let G be a connected planar graph with 10 vertices. If the number of edges on each face is three, then the number of edges in G is ___________.

Your input ____

GATE CSE 2015 Set 2

MCQ (Single Correct Answer)

-0.6

A graph is self-complementary if it is isomorphic to its complement. For all self-complementary graphs on $$n$$ vertices, $$n$$ is

A multiple of $$4$$

Even

Odd

Congruent to $$0$$ $$mod$$ $$4$$, or, $$1$$ $$mod$$ $$4.$$

GATE CSE 2015 Set 2

MCQ (Single Correct Answer)

-0.6

In a connected graph, bridge is an edge whose removal disconnects a graph. Which one of the following statements is true?

A tree has no bridges

A bridge cannot be part of a simple cycle

Every edge of a clique with size $$ \ge 3$$ is a bridge (A clique is any complete sub-graph of a graph )

A graph with bridges cannot have a cycle

GATE CSE 2014 Set 3

MCQ (Single Correct Answer)

-0.6

If $$G$$ is a forest with $$n$$ vertices and $$k$$ connected components, how many edges does $$G$$ have?

$$\left\lfloor {n/k} \right\rfloor $$

$$\left\lceil {n/k} \right\rceil \,$$

$$n - k$$

$$n - k + 1$$

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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