๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Random graphs generated by the Star 2-Process

โœ Scribed by Hanna Robalewska


Publisher
John Wiley and Sons
Year
1997
Tongue
English
Weight
249 KB
Volume
11
Category
Article
ISSN
1042-9832

No coin nor oath required. For personal study only.

โœฆ Synopsis


The star 2-process ''greedily'' generates graphs with maximum degree 2 in a natural way. We can obtain information about the final graph of this process; for instance, that is almost surely 2-regular. We also find the probability of hamiltonicity and Poisson approximations of the distributions of numbers of cycles and short cycles. แฎŠ 1997


๐Ÿ“œ SIMILAR VOLUMES


Connectivity of random regular graphs ge
โœ Pu Gao ๐Ÿ“‚ Article ๐Ÿ“… 2010 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 149 KB ๐Ÿ‘ 1 views

## Abstract We study the connectivity of random __d__โ€regular graphs which are recursively generated by an algorithm motivated by a peerโ€toโ€peer network. We show that these graphs are asymptotically almost surely __d__โ€connected for any even constant __d__โฉพ4. ยฉ 2010 Wiley Periodicals, Inc. J Graph

Cataloging graphs by generating them uni
โœ A. Kerber; R. Laue; R. Hager; W. Weber ๐Ÿ“‚ Article ๐Ÿ“… 1990 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 254 KB

## Abstract We describe an algorithm for cataloging graphs by generating them uniformly at random. The method used is based on a recent algorithm by Dixon and Wilf that generates orbit representatives uniformly at random. The approach is refined to graphs with prescribed numbers of edges and vertic

The generalized acyclic edge chromatic n
โœ Stefanie Gerke; Catherine Greenhill; Nicholas Wormald ๐Ÿ“‚ Article ๐Ÿ“… 2006 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 224 KB ๐Ÿ‘ 1 views

## Abstract The __r__โ€acyclic edge chromatic number of a graph is defined to be the minimum number of colors required to produce an edge coloring of the graph such that adjacent edges receive different colors and every cycle __C__ has at least min(|__C__|, __r__) colors. We show that (__r__โ€‰โˆ’โ€‰2)__d

cover
โœ John Vornholt ๐Ÿ“‚ Fiction ๐Ÿ“… 2000 ๐Ÿ› Pocket Books ๐ŸŒ en-GB โš– 118 KB ๐Ÿ‘ 2 views

Dazzling to behold, Gemworld is one of the wonders of the Federation: an artificial world composed entirely of crystal, its atmosphere held in place by a sophisticated network of force fields. Home to half a dozen different sentient races, this singular world is a low-gravity playpen of mammoth spir