11 citations · 18 across the 6 of their papers we have counts for
6 papers
Some enumerative properties of a class of Fibonacci-like cubes
Xuxu Zhao, Xu Wang, Haiyuan Yao
A filter lattice is a distributive lattice formed by all filters of a poset in the anti-inclusion order. We study the combinatorial properties of the Hasse diagrams of filter latti…
Optimal cube factors of Fibonacci and matchable Lucas cubes
Xu Wang, Xuxu Zhao, Haiyuan Yao
The optimal cube factor of a graph, a special kind of component factor, is first introduced. Furthermore, the optimal cube factors of Fibonacci and matchable Lucas cubes are studie…
A class of non-matchable distributive lattices
Xu Wang, Xuxu Zhao, Haiyuan Yao
The set of all perfect matchings of a plane (weakly) elementary bipartite graph equipped with a partial order is a poset, moreover the poset is a finite distributive lattice and it…
Structure and enumeration results of matchable Lucas cubes
Xu Wang, Xuxu Zhao, Haiyuan Yao
A lucasene is a hexagon chain that is similar to a fibonaccene, an -fence is a poset the Hasse diagram of which is isomorphic to the directed inner dual graph of the correspondi…
Convex expansion for finite distributive lattices with applications
Xu Wang, Xuxu Zhao, Haiyuan Yao
The concept of cutting is first explicitly introduced. By the concept, a convex expansion for finite distributive lattices is considered. Thus, a more general method for drawing th…
Decomposition theorem on matchable distributive lattices
Heping Zhang, Dewu Yang, Haiyuan Yao
A distributive lattice structure has been established on the set of perfect matchings of a plane bipartite graph . We call a lattice {\em matchable distributive…