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use Kuratowski's theorem to determine whether the given graph is planar. 23. а h 24. a he P 25. a

use Kuratowski's theorem to determine whether the given graph is planar. 23. а h 24. a he P 25. a

Advanced Engineering Mathematics
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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use Kuratowski's theorem to determine whether the given graph is planar. 23. а b h 24. a he e 25. a d e
Transcribed Image Text:use Kuratowski's theorem to determine whether the given graph is planar. 23. а b h 24. a he e 25. a d e
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Step 1

Planar Graph: A graph that can be drawn in the plane without any edges that cross each other where the cross of edges is the intersection of the lines or arcs that represent them at a point other than their common endpoint.

 

The objective is to use the Kuratowski's theorem to

determine whether the graph is planar.

Note: The graphs G1= (E1,V1) and G2= (E2,V2) are  called homeomorphic if they can be obtained from the same graph by a sequence of elementary sub division.

Kuratowski's theorem: A graph is non-planar if and only if it contains a subgraph homeomorphic to K3,3 or K5.

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