By : Manglika Tripathi
Updated : Feb 26, 2021, 16:48
Graphs are terms used to describe multiple vertices connected through a combination of edges. The study of these graphs is known as graph theory. It is an essential topic in many engineering competitive examinations.In layman's terms, graphs are a combination of vertices and edges. Generally, many diagrambased questions are asked from the subtopics and types related to graphs. This article will tell you where to go for graphs study material for GATE CS, graphs GATE questions and answers pdf, graphs online quizzes, graphs topics for GATE CS, graphs notes for GATE pdf, and graphs online tests. It will provide a comprehensive overview of the topic to prepare for the GATE CS.
Topics  Explanation 
Null graphs  Graphs that have vertices, but do not have any edges are called null graphs. 
Konigsberg bridge problem  Konigsberg problem states that "Is it possible to cross four areas (A, B, C, D) using seven bridges without swimming in the river exactly once and arriving back from where you started" 
Handshaking theorem  The handshaking theorem states the following conclusions:
This theorem is also known as the Sum of degree theorem. 
Isomorphic graphs  Any two graphs are said to be isomorphic if they fulfil the following conditions:

Graph colouring  Graph colouring is the process of colouring the graph’s vertices such that every vertex is assigned some different colour. It is also known as vertex colouring and graph so formed is known as a properly coloured graph. 
Graph complement  The complement of graph A is a graph A' such that A' has all vertices of graph A and A' with edges that do not exist in A. 
Following are some tips to keep in mind while preparing for questions on graphs:
Here's why graphs form an essential part of GATE:
There are many books to prepare for graphs and related topics for the GATE CS examinations, so you have to choose wisely. The below list of graph books for GATE will help you understand the possible graphs GATE questions.
Book  Author 
Graphs theory  Narsingh Deo 
Graph theory with applications  John Adrian Bondy 
Introduction to Graph Theory  Richard J Trudeau 
Gradeup is an online platform that allows students to interact, communicate, and address their queries. It provides students with an environment to study using highquality, verified examination material and practice previous years' examination papers, too. It gives students access to preparation material, which boosts aspirants' confidence. It also provides students with mock tests to practice examinations. It even conducts regular live sessions to clarify students' doubts. You can also find graphs quizzes, graphs, GATE notes, and graphs GATE syllabus to prepare for examinations at BYJU'S Exam Prep.
Q. What is the weightage of graphs questions in competitive examinations?
On average, around 23 questions are asked on graphs, types and related topics in competitive examinations.
Q. What is the updated graphs syllabus for GATE CS?
You can find the updated graphs syllabus for GATE and graphs notes for CS on the BYJU'S Exam Prep website.
Q. How are questions related to Graphs asked in competitive examinations?
They are usually asked in the form of theoretical and diagrambased MCQs. You can prepare accordingly with the graphs MCQ questions and graphs MCQ pdf compiled by BYJU'S Exam Prep.
Q. What is the difficulty level of graphs questions in examinations?
The difficulty level of these questions is not too high, so you can easily solve them and score well in examinations.
Q. What are the applications of graphs in computer science?
Graphs for GATE computer science is usually used to study the following theorems and algorithms: