Which of the following graphs are bipartite? R OA OB I в I H OC OD
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Which of the following graphs are bipartite?
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Expert Solution
Step 1
A graph is said to be a bipartite graph if it contains no odd cycle.
In graph (A), there are two odd cycles such that and . So, this graph is not a bipartite graph.
In graph (B), there are three odd cycles such that . So, this graph is not a bipartite graph.
In graph (C) and (D), there is no odd cycle. So, these graphs are bipartite.
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