3 papers
math.NT2020
Multiple Dedekind Symbols
Zhongyu Jin, Qingchun Tian, Yuan Zhou
In this paper we study multiple Dedekind symbols and the associated multiple reciprocity functions. There is a bijection between the two sets of them after a normalization. By this…
math.OC2019
Facets, weak facets, and extreme functions of the Gomory-Johnson infinite group problem
Matthias Köppe, Yuan Zhou
We investigate three competing notions that generalize the notion of a facet of finite-dimensional polyhedra to the infinite-dimensional Gomory-Johnson model. These notions were kn…
math.GR2018
All Cyclic Group Facets Inject
Matthias Köppe, Yuan Zhou
We give a variant of Basu-Hildebrand-Molinaro's approximation theorem for continuous minimal valid functions for Gomory-Johnson's infinite group problem by piecewise linear two-slo…