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The number of 1-factors in 2k-connected graphs

✍ Scribed by Béla Bollobas


Publisher
Elsevier Science
Year
1978
Tongue
English
Weight
166 KB
Volume
25
Category
Article
ISSN
0095-8956

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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__^n−2^ and Renyi found a formula for __f(n, n)__. Here I develop two methods to calculate the exp