GATE CSE 2015 Set 1 | Graph Theory Question 28 | 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 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?

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

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

$$n - k$$

$$n - k + 1$$

GATE CSE 2014 Set 3

MCQ (Single Correct Answer)

-0.6

Let $$\delta $$ denote the minimum degree of a vertex in a graph. For all planar graphs on $$n$$ vertices with $$\delta \ge 3$$, which one of the following is TRUE?

In any planar embedding, the number of faces is at least $${n \over 2} + 2$$

In any planar embedding, the number of faces is less than $${n \over 2} + 2$$

There is a planar embedding in which the number of facess is less than $${n \over 2} + 2$$

There is a planar embedding in which the number of faces is at most $${n \over {\delta + 1}}$$

GATE CSE 2014 Set 2

Numerical

-0

A cycle on $$n$$ vertices is isomorphic to its complement. The value of $$n$$ is __________.

Your input ____

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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 P and NP Concepts Dynamic Programming

Digital Logic

K Maps Boolean Algebra 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

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