Yueming Zhong

activity

20192026

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4 papers · 1 filter

math.CO2026

Exact Ehrhart Series of Birkhoff Polytopes via Constant Terms and Finite-Field Evaluation

Xinru Jiang, Guoce Xin, Chen Zhang +1

The Ehrhart series of the $n$ th Birkhoff polytope is $\sum_{r \geq 0} H_{n} (r) z^{r}$ , where $H_{n} (r)$ counts nonnegative integer $n \times n$ matrices whose row and column sums all equal $r…

math.CO2026

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…

math.CO2026

Alternating adjacent-sum polytopes: transfer matrices and Ehrhart series

Xinru Jiang, Suzhen Wen, Yueming Zhong

We study a period-two family of adjacent-sum lattice polytopes whose consecutive-coordinate bounds alternate between $s$ and $s + 1$ . This provides a simple non-uniform deformation o…

math.CO2026

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 $G$ , the number $h_{G} (s)$ of magic labelings with magic sum $s$ can be expressed as a sum of two polynomials in $s$ . However,…