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Unformatted text preview: Section 10.1 17. (a) Not isomorphic: IC4 has four vertices while IC 3 ,8 has 11. (b) Not isomorphic: IC n has CD = 55 edges while IC 3 ,8 has 24. (c) Not isomorphic: IC 4 ,6 has ten vertices while IC2,12 has 14. (d) Not isomorphic: IC 4 ,6 has 24 edges while IC5,5 has 25. 263 (e) Isomorphic: in fact, these are the same graph simply viewed in different ways. In each case, the graph consists of a set of four vertices each of which is joined in all possible ways to the vertices in a second set of six. 18. No. Let (h and fh be any pair of graphs which are not isomorphic and set 93 = 91. The conditions hold but 91 ~ 93' 19. In this case, George's deduction is correct. To see why most easily, recall that the notion of "isomor phism" is an equivalence relation. Thus, if 91 is not isomorphic to 92, then 91 and 92 are in different equivalence classes. If (h ~ 93, then 92 and 93 are in the same equivalence class. Thus 91 and 93 are in different equivalence classes and hence not isomorphic....
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This note was uploaded on 11/08/2010 for the course MATH discrete m taught by Professor Any during the Summer '10 term at FSU.
 Summer '10
 any
 Graph Theory

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