𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generating Random Regular Graphs

✍ Scribed by J. H. Kim; V. H. Vu*


Publisher
Springer-Verlag
Year
2006
Tongue
English
Weight
325 KB
Volume
26
Category
Article
ISSN
0209-9683

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Generating and Counting Hamilton Cycles
✍ Alan Frieze; Mark Jerrum; Michael Molloy; Robert Robinson; Nicholas Wormald πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 216 KB

Let G be chosen uniformly at random from the set G G r, n of r-regular graphs w x Ε½ . with vertex set n . We describe polynomial time algorithms that whp i find a Ε½ . Hamilton cycle in G, and ii approximately count the number of Hamilton cycles in G.

Generating r-regular graphs
✍ Guoli Ding; Peter Chen πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 208 KB

For each nonnegative integer r, we determine a set of graph operations such that all r-regular loopless graphs can be generated from the smallest r-regular loopless graphs by using these operations. We also discuss possible extensions of this result to r-regular graphs of girth at least g, for each

Generating 5-regular planar graphs
✍ Guoli Ding; Jinko Kanno; Jianning Su πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 210 KB

## Abstract For __k__=0, 1, 2, 3, 4, 5, let ${\cal{P}}\_{k}$ be the class of __k__ ‐edge‐connected 5‐regular planar graphs. In this paper, graph operations are introduced that generate all graphs in each ${\cal{P}}\_{k}$. Β© 2009 Wiley Periodicals, Inc. J Graph Theory 61: 219–240, 2009

Random strongly regular graphs?
✍ Peter J. Cameron πŸ“‚ Article πŸ“… 2003 πŸ› Elsevier Science 🌐 English βš– 289 KB

Strongly regular graphs lie on the cusp between highly structured and unstructured. For example, there is a unique strongly regular graph with parameters (36; 10; 4; 2), but there are 32548 non-isomorphic graphs with parameters (36; 15; 6; 6). (The ΓΏrst assertion is a special case of a theorem of Sh

Random strongly regular graphs?
✍ Peter J. Cameron πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 203 KB
Random Matchings in Regular Graphs
✍ Jeff Kahn; Jeong Han Kim πŸ“‚ Article πŸ“… 1998 πŸ› Springer-Verlag 🌐 English βš– 339 KB