## Abstract A large set of __CS__(__v__, __k__, Ξ»), __k__βcycle system of order __v__ with index Ξ», is a partition of all __k__βcycles of __K__~__v__~ into __CS__(__v__, __k__, Ξ»)s, denoted by __LCS__(__v__, __k__, Ξ»). A (__v__βββ1)βcycle is called almost Hamilton. The completion of the existence s
On large sets of Pk-decompositions
β Scribed by Yanfang Zhang
- Publisher
- John Wiley and Sons
- Year
- 2005
- Tongue
- English
- Weight
- 81 KB
- Volume
- 13
- Category
- Article
- ISSN
- 1063-8539
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β¦ Synopsis
Let G ΒΌ Γ°VΓ°GΓ; EΓ°GΓΓ be a graph. A Γ°v v v; G; Γ-GD is a partition of all the edges of
LGD. In this paper, we obtain a general result by using the finite fields, that is, if q ! k ! 2 is an odd prime power, then there exists a Γ°q; P k ; k Γ 1Γ-LGD.
π SIMILAR VOLUMES
## Abstract Let __G__=(__V__(__G__),__E__(__G__)) be a graph. A (__n__,__G__, Ξ»)β__GD__ is a partition of the edges of Ξ»__K__~__n__~ into subgraphs (__G__βblocks), each of which is isomorphic to __G__. The (__n__,__G__,Ξ»)β__GD__ is named as graph design for __G__ or __G__βdecomposition. The large s
We characterize those symmetric designs with a Singer group G which admit a quasi-regular G-invariant partition into strongly induced symmetric subdesigns. In terms of the corresponding difference sets, the set associated with the larger design can be decomposed into a difference set describing the
Large sets of Steiner systems s ( t , k , n ) exist for all finite t and k with t < k and all infinite n. The vector space analogues exist over a field F for all finite t and k with f < R provided that either v or F is infinite, and n 1 2k -t + 1. This inequality is best possible. o 1995 John Wiley