๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Some large trivalent graphs having small diameters

โœ Scribed by William M. Kantor


Book ID
104184289
Publisher
Elsevier Science
Year
1992
Tongue
English
Weight
458 KB
Volume
37-38
Category
Article
ISSN
0166-218X

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Region distributions of some small diame
โœ Saul Stahl ๐Ÿ“‚ Article ๐Ÿ“… 1991 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 954 KB

Stahl, S., Region distributions of some small diameter graphs, Discrete Mathematics 89 (1991) 281-299. Let G be a graph with a vertex u such that V(G) -{u} induces either a forest or a cycle. It is shown that the region distribution of G is approximately proportional to the Stirling numbers of the f

Some large graphs with given degree and
โœ I. Alegre; M. A. Fiol; J. L. A. Yebra ๐Ÿ“‚ Article ๐Ÿ“… 1986 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 196 KB ๐Ÿ‘ 1 views

This paper considers the (A, 0 ) problem: to maximize the order of graphs with given maximum degree A and diameter 0, of importance for its implications in the design of interconnection networks. Two cubic graphs of diameters 5 and 8 and orders 70 and 286, respectively, and a graph of degree 5, diam

An asymptotic formula for the number of
โœ Ioan Tomescu ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 351 KB

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.