๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

A note on Hamiltonian decompositions of Cayley graphs

โœ Scribed by U. Baumann; M. Lesch; I. Schmeichel


Book ID
112951177
Publisher
Vandenhoeck & Ruprecht
Year
1995
Tongue
German
Weight
231 KB
Volume
65
Category
Article
ISSN
0025-5858

No coin nor oath required. For personal study only.


๐Ÿ“œ SIMILAR VOLUMES


Hamiltonian decompositions of Cayley gra
โœ Jiuqiang Liu ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 606 KB

Alspach has conjectured that any 2k-regular connected Cayley graph cay(A,S) on a finite abelian group A can be decomposed into k hamiltonian cycles. In this paper, the conjecture is shown to be true if S= {sl,sz, s3} is a minimal generating set of A with 1 Al odd, or S={sl,s& . . . . sk} is a genera

Hamiltonian Decompositions of Cayley Gra
โœ Jiuqiang Liu ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 380 KB

Alspach has conjectured that any 2k-regular connected Cayley graph cay(A, S) on a finite abelian group A can be decomposed into k hamiltonian cycles. In this paper, the conjecture is shown to be true if S=[s 1 , s 2 , ..., s k ] is a minimal generating set of an abelian group A of odd order (where a

Pseudo-cartesian product and hamiltonian
โœ Cong Fan; Don R. Lick; Jiuqiang Liu ๐Ÿ“‚ Article ๐Ÿ“… 1996 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 971 KB

Alspach has conjectured that any 2k-regular connected Cayley graph cay(A,S) on a finite abelian group A can be decomposed into k hamiltonian cycles. In this paper we generalize a result by Kotzig that the Cartesian product of any two cycles can be decomposed into two hamiltonian cycles and show that

On edge-hamiltonian Cayley graphs
โœ Ulrike Baumann ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 667 KB