## 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__^โ1^) = __n__^nโ2^ and Renyi found a formula for __f(n, n)__. Here I develop two methods to calculate the exp
Wright's formulae for the number of connected sparsely edged graphs
โ Scribed by P. M. D. Gray; A. M. Murray; N. A. Young
- Publisher
- John Wiley and Sons
- Year
- 1977
- Tongue
- English
- Weight
- 161 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
โฆ Synopsis
Abstract
We have written computer programs to determine exactly the coefficients in Wright's formula for f(n, n + k), the number of connected sparsely edged labeled graphs (see preceding paper), and used them up to k = 24. We give the results up to k = 7.
๐ SIMILAR VOLUMES
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## Abstract The number of connected graphs on __n__ labeled points and __q__ lines (no loops, no multiple lines) is __f(n,q).__ In the first paper of this series I showed how to find an (increasingly complicated) exact formula for __f(n,n+k)__ for general __n__ and successive __k.__ The method woul
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