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8 papers · 2 filters
Stability of pair graphs
Yan-Li Qin, Binzhou Xia, Jin-Xin Zhou +1
We start up the study of the stability of general graph pairs. This notion is a generalization of the concept of the stability of graphs. We say that a pair of graphs is st…
Large Sets with Multiplicity
Tuvi Etzion, Junling Zhou
Large sets of combinatorial designs has always been a fascinating topic in design theory. These designs form a partition of the whole space into combinatorial designs with the same…
Maximum -cyclic holely group divisible packings with block size three and applications to optical orthogonal codes
Zenghui Fang, Junling Zhou, Lidong Wang
In this paper we investigate combinatorial constructions for -cyclic holely group divisible packings with block size three (briefly by -HGDPs). For any positive integers $u,v…
Arc-transitive Cayley graphs on nonabelian simple groups with prime valency
Fu-Gang Yin, Yan-Quan Feng, Jin-Xin Zhou +1
In 2011, Fang et al. in (J. Combin. Theory A 118 (2011) 1039-1051) posed the following problem: Classify non-normal locally primitive Cayley graphs of finite simple groups of valen…
Wide-Sense 2-Frameproof Codes
Junling Zhou, Wenling Zhou
Various kinds of fingerprinting codes and their related combinatorial structures are extensively studied for protecting copyrighted materials. This paper concentrates on one specia…
On the existence and the enumeration of bipartite regular representations of Cayley graphs over abelian groups
Jia-Li Du, Yan-Quan Feng, Pablo Spiga
In this paper we are interested in the asymptotic enumeration of bipartite Cayley digraphs and Cayley graphs over abelian groups. Let be an abelian group and let be the aut…