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I'm not sure you are on the right problem.
 
I'm not sure you are on the right problem.
 
We need to determine if the graph is planar which it is not by corollary 3 of theorem 1 as 2*v-4=8 which is less than e=9.  You can use this corollary since there are no circuits of length 3.
 
We need to determine if the graph is planar which it is not by corollary 3 of theorem 1 as 2*v-4=8 which is less than e=9.  You can use this corollary since there are no circuits of length 3.
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You can also look at the graph and see that it is a representation of K(3,3), and therefore, is not planar.

Latest revision as of 19:00, 3 December 2008

For the graph of exercise 2, I found a,b,e,d,z. Therefore the total weight is 7. It is the shortest path. --rtabchou

I'm not sure you are on the right problem. We need to determine if the graph is planar which it is not by corollary 3 of theorem 1 as 2*v-4=8 which is less than e=9. You can use this corollary since there are no circuits of length 3.

You can also look at the graph and see that it is a representation of K(3,3), and therefore, is not planar.

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

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