Zi-Hao Zhang

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20212026

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2 papers · 1 filter

math.CO2023

Algebraic Volume for Polytope Arise from Ehrhart Theory

Guoce Xin, Xinyu Xu, Yingrui Zhang +1

Volume computation for $d$ -polytopes $P$ is fundamental in mathematics. There are known volume computation algorithms, mostly based on triangulation or signed-decompositi…

math.CO2023

Fast Evaluation of Generalized Todd Polynomials: Applications to MacMahon's Partition Analysis and Integer Programming

Guoce Xin, Yingrui Zhang, ZiHao Zhang

The Todd polynomials, denoted as $t d_{k} (b_{1}, b_{2}, \dots, b_{m})$ , are characterised by their generating functions: $k \geq 0 \sum t d_{k} s^{k} = i = 1 \prod m \frac{b _{i} s}{e ^{b_{i} s} - 1} .$ …