In this paper it is shown that for every fixed k 1> 3, G(n; d = k) = 2(~) (6.2 -k + o(1))", where G(n; d = k) denotes the number of graphs of order n and diameter equal to k. It is also proved that for every fixed k>~2, lim,~G(n;d=k)/G(n;d=k+ 1)=lim.o~G(n;d=n-k)/ G(n;d=n-k+ 1)= oo hold.
Asymptotic formulas for the number of oriented graphs
โ Scribed by E.M Wright
- Publisher
- Elsevier Science
- Year
- 1978
- Tongue
- English
- Weight
- 158 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0095-8956
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