Kuratowski's Theorem

Tuesday, 30 April 2019

6:59 PM

A graph is planar  it has no subgraph homemorphic to  or

Machine generated alternative text:
Example 
Show that G is not planar. 
The previous theorem on planarity is of no use here 
13 < 18 3v —G and since G has circuits of length 3. 
since c = 
However, G has subgraph G' which is homeomorphic to 11, and 11 K3,3.

 

 

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