An Ihara formula for partially directed graphs
β Scribed by Andrei Tarfulea; Robert Perlis
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 144 KB
- Volume
- 431
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Let G be a median graph on n vertices and m edges and let k be the number of equivalence classes of the Djokovi6's relation ~9 defined on the edge-set of G. Then 2n-m-k ~< 2. Moreover, 2n-m-k = 2 if and only if G is cube-free. (~) 1998 Elsevier Science B.V. All rights reserved A median graph is a co
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.