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
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Which of the following graphs are bipartite?
I
V
OA
OB
E
C
I
H.
OC
OD
Transcribed Image Text:Which of the following graphs are bipartite? I V OA OB E C I H. OC OD
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 TQU and TRU. So, this graph is not a bipartite graph.

In graph (B), there are three odd cycles such that KLM,LIM,KJM. 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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