๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Formulas for the number of trees in certain incomplete graphs

โœ Scribed by S.D. Bedrosian


Publisher
Elsevier Science
Year
1970
Tongue
English
Weight
192 KB
Volume
289
Category
Article
ISSN
0016-0032

No coin nor oath required. For personal study only.

โœฆ Synopsis


A concise summary is given of the standardized incomplete graphs denoted as the r, p, m and s series. Bercovici's recent general formula for the number of trees in the m series is considered and the corresporLdin,g gen,eral formula for the s series is given.


๐Ÿ“œ SIMILAR VOLUMES


Wright's formulae for the number of conn
โœ P. M. D. Gray; A. M. Murray; N. A. Young ๐Ÿ“‚ Article ๐Ÿ“… 1977 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 161 KB

## 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.

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.

On the number of spanning trees in a mol
โœ R.B. Mallion ๐Ÿ“‚ Article ๐Ÿ“… 1975 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 444 KB

A rccenl theorem due to W'aller is applied to the mokculnr gmph of a typical conjugtcd system (naphthalene) in order to demonstrate the enumeration of spanning trees, on each of which a "ring current" calculation may be based.