𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Asymptotic results regarding the number of walks in a graph

✍ Scribed by A Dress; I Gutman


Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
256 KB
Volume
16
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The number of walks in a graph
✍ A Dress; I Gutman πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 349 KB

The aim of this note is to call attention to a simple regularity regarding the number of walks in a finite graph G. Let wk denote the number of walks of length k(> 0) in G. Then Wi+,, 5 W&Wzb holds for all a, b E NJ while equality holds exclusively either (I) for all a, b E No (in case G is a regula

The number of connected sparsely edged g
✍ E. M. Wright πŸ“‚ Article πŸ“… 1980 πŸ› John Wiley and Sons 🌐 English βš– 413 KB

## 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

Asymptotic Behavior of the Transition Pr
✍ Motoko Kotani; Tomoyuki Shirai; Toshikazu Sunada πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 522 KB

Ideas cultivated in spectral geometry are applied to obtain an asymptotic property of a reversible random walk on an infinite graph satisfying a certain periodic condition. In the course of our argument, we employ perturbation theory for the maximal eigenvalues of twisted transition operator. As a r

On the asymptotic behavior of the maximu
✍ Lonc, Zbigniew; Parol, Krzysztof; Wojciechowski, Jacek M. πŸ“‚ Article πŸ“… 1997 πŸ› John Wiley and Sons 🌐 English βš– 126 KB πŸ‘ 3 views

The following asymptotic estimation of the maximum number of spanning trees f k (n) in 2kregular circulant graphs ( k ΓΊ 1) on n vertices is the main result of this paper: )) , where