Yingrui Zhang

activity

20182024

k

-Dyck paths

1 citations · 1 across the 8 of their papers we have counts for

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3 papers · 1 filter

math.CO2023

Inverting the General Order Sweep Map

Ying Wang, Guoce Xin, Yingrui Zhang

Building upon the foundational work of Thomas and Williams on the modular sweep map, Garsia and Xin have developed a straightforward algorithm for the inversion of the sweep map on…

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: $k \geq 0 \sum t d_{k} s^{k} = i = 1 \prod m \frac{b _{i} s}{e ^{b_{i} s} - 1} .$ …