Find out whether the following graph is bipartite or not? Show your work. 3 5 7 2 4 6

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
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Please use Breadth-First Search algorithm to answer the following question.

Please show step by step explanation. Thank you

Find out whether the following graph is bipartite or not? Show your work.
1
3
5
7
2
4
6
Transcribed Image Text:Find out whether the following graph is bipartite or not? Show your work. 1 3 5 7 2 4 6
Expert Solution
Step 1

If the given graph is bipartite or not, to check it we have to use the algorithm which uses the concept of  BFS and graph coloring.

Steps:

Source vertex is assigned with a color ( let's say red).

Find all the neighbors of the source vertex using BFS and assign them with another color(say blue).

Now, take one neighbor at a time, and find its neighbors and assign them the color red.

Continue this process until all the vertices have been assigned a color.

If the same color is assigned to the neighbor as that of the current vertex then stop the process. The algorithm returns that graph is not bipartite.

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