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- W2090240096 abstract "A (k,λ)-HCF(n,mu) is a pair (C,R) where C is a k-cycle decomposition of the λ-fold of the Cayley graph Γ(G,S) with G=Zu×Zm×Zn and (x,y,z)∈S if and only if x≠0≠z, and R is a partition of C into holey parallel classes each of which consists of mn(u−1)k cycles whose vertices cover all G except one suitable coset of {0}×Zm×Zn. In this paper, we shall give some recursive constructions for (k,λ)-HCFs, and show that there exists a (4,λ)-HCF(n,mu) if and only if mn(u−1)≡0(mod4), λ(n−1)m≡0(mod2), n≥2, u≥3 and (λ,n,u,m)≠(2r,2,3,2t+1), r≥1,t≥0." @default.
- W2090240096 created "2016-06-24" @default.
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- W2090240096 date "2015-04-01" @default.
- W2090240096 modified "2023-09-26" @default.
- W2090240096 title "On the existence of holey 4-cycle frames" @default.
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- W2090240096 doi "https://doi.org/10.1016/j.disc.2014.12.006" @default.
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