𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On Hamilton Cycle Decomposition of 6-regular Circulant Graphs

✍ Scribed by Matthew Dean


Publisher
Springer Japan
Year
2006
Tongue
English
Weight
177 KB
Volume
22
Category
Article
ISSN
0911-0119

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Hamilton cycle decomposition of 6-regula
✍ Matthew Dean πŸ“‚ Article πŸ“… 2007 πŸ› John Wiley and Sons 🌐 English βš– 119 KB

## Abstract The circulant __G__ = C(__n__,__S__), where $S\subseteq Z\_n\setminus\{0\}$, is the graph with vertex set __Z__~__n__~ and edge set $E(G)= \{\{x,x+s\}|x \in Z\_n,s \in S\}$. It is shown that for __n__ odd, every 6‐regular connected circulant C(__n__, __S__) is decomposable into Hamilton

Random Matchings Which Induce Hamilton C
✍ Jeong Han Kim; Nicholas C. Wormald πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 215 KB

Select four perfect matchings of 2n vertices, independently at random. We find the asymptotic probability that each of the first and second matchings forms a Hamilton cycle with each of the third and fourth. This is generalised to embrace any fixed number of perfect matchings, where a prescribed set

Symmetric Hamilton cycle decompositions
✍ Jin Akiyama; Midori Kobayashi; Gisaku Nakamura πŸ“‚ Article πŸ“… 2003 πŸ› John Wiley and Sons 🌐 English βš– 95 KB πŸ‘ 1 views

## Abstract We construct a new symmetric Hamilton cycle decomposition of the complete graph __K~n~__ for odd __n__ > 7. Β© 2003 Wiley Periodicals, Inc.

Decompositions of complete graphs into t
✍ Darryn Bryant; Barbara Maenhaut πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 121 KB πŸ‘ 1 views

## Abstract For all odd integers __n__ β‰₯ 1, let __G~n~__ denote the complete graph of order __n__, and for all even integers __n__ β‰₯ 2 let __G~n~__ denote the complete graph of order __n__ with the edges of a 1‐factor removed. It is shown that for all non‐negative integers __h__ and __t__ and all p

On Hamilton-cycles of random graphs
✍ I. PalΓ‘sti πŸ“‚ Article πŸ“… 1971 πŸ› Springer Netherlands 🌐 English βš– 243 KB
Hamilton Cycle Decomposition of Line Gra
✍ A. Muthusamy; P. Paulraja πŸ“‚ Article πŸ“… 1995 πŸ› Elsevier Science 🌐 English βš– 614 KB

In this paper it is proved that if a graph \(G\) has a decomposition into an even (resp., odd) number of Hamilton cycles, then \(L(G)\), the line graph of \(G\), has a decomposition into Hamilton cycles (resp., Hamilton cycles and a 2-factor). Further, we show that if \(G\) is a \(2 k\)-regular grap