Zhanyuan Cai

collaborators

2 papers

math.MG2023

Classification and enumeration of lattice polygons in a disc

Qiuyue Liu, Yuqin Zhang, Zhanyuan Cai

In 1980, V. I. Arnold studied the classification problem for convex lattice polygons of given area. Since then, this problem and its analogues have been studied by many authors, in…

math.CO2022

New sufficient degree conditions for an $r$ -uniform hypergraph to be $k$ -edge-connected

Jiyun Guo, Jun Wang, Zhanyuan Cai +1

An $r$ -uniform hypergraphic sequence (i.e., $r$ -graphic sequence) $d = (d_{1}, d_{2}, \dots, d_{n})$ is said to be forcibly $k$ -edge-connected if every realization of $d$ is $k$ -edge-connec…

Classification and enumeration of lattice polygons in a disc

New sufficient degree conditions for an r-uniform hypergraph to be k-edge-connected

New sufficient degree conditions for an $r$ -uniform hypergraph to be $k$ -edge-connected