𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Dihedral Hamiltonian Cycle Systems of the Cocktail Party Graph

✍ Scribed by Marco Buratti; Francesca Merola


Book ID
112120488
Publisher
John Wiley and Sons
Year
2012
Tongue
English
Weight
660 KB
Volume
21
Category
Article
ISSN
1063-8539

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Clique partitions of the cocktail party
✍ D.A Gregory; S McGuinness; W Wallis πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 369 KB

Let To denote the complement of a perfect matching in the complete graph on v vertices, v even, and let cp(To) be the minimum number of cliques needed to partition the edge-set of To. We prove that cp(To)>-v for v 1> 8 and give a design characterization of the cases where equality holds. We also sho

Cyclic Hamiltonian cycle systems of the
✍ Marco Buratti; Alberto Del Fra πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 251 KB

We prove that there exists a cyclic Hamiltonian k-cycle system of the complete graph if and only if k is odd but k = 15 and p with p prime and ΒΏ 1. As a consequence we have the existence of a cyclic k-cycle system of the complete graph on km vertices for any pair (k; m) of odd integers with k as abo

Cycle systems of the line graph of the c
✍ Cox, B.A.; Rodger, C.A. πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 562 KB

For all m = 0 (mod 41, for all n = 0 or 2 (mod m), and for all n = 1 (mod 2m) w e find an m-cycle decomposition of the line graph of the complete graph K,. In particular, this solves the existence problem when m is a power of two.