From the 1 of 4 linked papers with an AI index.
4 papers
Transfer Matrices and Ehrhart Theory for Path and Cyclic Block Polytopes
Xinru Jiang, Shuai Yang, Yueming Zhong
We study block polytopes whose variables are divided into equal-size blocks and whose local inequalities bound the total contribution of adjacent blocks. For blocks arranged along…
Alternating adjacent-sum polytopes: transfer matrices and Ehrhart series
Xinru Jiang, Suzhen Wen, Yueming Zhong
The paper investigates a family of alternating adjacent‑sum lattice polytopes, deriving explicit transfer‑matrix representations and detailed Ehrhart generating functions, recurren…
Constructing explicit Sperner chain decompositions for and via Greedy Algorithms and chain tableaux
Guoce Xin, Yueming Zhong
Let denote Young's lattice, consisting of all partitions whose Young diagrams are contained within an rectangle. It is a classical result that the partially or…
Magic labelling enumeration on pseudo-line graphs and pseudo-cycle graphs
Guoce Xin, Yueming Zhong, Yangbiao Zhou
Stanley's theorem establishes that for any finite graph , the number of magic labelings with magic sum can be expressed as a sum of two polynomials in . However,…