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Monophonic numbers of the join and composition of connected graphs

✍ Scribed by Esamel M. Paluga; Sergio R. Canoy; Jr


Book ID
108113723
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
217 KB
Volume
307
Category
Article
ISSN
0012-365X

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## Abstract An (__n, q__) graph has __n__ labeled points, __q__ edges, and no loops or multiple edges. The number of connected (__n, q__) graphs is __f(n, q)__. Cayley proved that __f(n, n__^‐1^) = __n__^nβˆ’2^ and Renyi found a formula for __f(n, n)__. Here I develop two methods to calculate the exp