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4 papers · 1 filter
Independent Sets in Direct Products of Vertex-transitive Graphs
Huajun Zhang
The direct product of graphs and is defined by: \[V(G\times H)=V(G)\times V(H)\] and \[E(G\times H)=\left\{[(u_1,v_1),(u_2,v_2)]: (u_1,u_2)\in E(G) \mbox{\ and\…
Cross-intersecting families and primitivity of symmetric systems
Jun Wang, Huajun Zhang
Let be a finite set and , the power set of , satisfying three conditions: (a) is an ideal in , that is, if an…
On a conjecture about enumerating -free posets
Sherry H. F. Yan
Recently, Kitaev and Remmel posed a conjecture concerning the generating function for the number of unlabeled -free posets with respect to number of elements and number of m…
Tunable striped-patterns by lattice anisotropy and magnetic impurities in d-wave superconductors
Xian-Jun Zuo, Yuan Zhou, Chang-De Gong
The pattern transition induced by lattice anisotropy (LA) and magnetic impurities is computationally observed in near-optimally doped d-wave superconductors (DSCs). For the single…