Kai Yang

activity

20242026

collaborators

Showing 2026Show all

4 papers · 1 filter

math.AP2026

The uniqueness and non-uniqueness of solutions to the even dual Minkowski problem

Xiong Ge, Yang Kaiwen

For solutions to the Minkowski problem of the even dual curvature measures $C_{q}$ in $R^{n}$ , $n \geq 2$ , we prove the non-uniqueness for $q > n$ and $n \geq 2$ , and th…

math.MG2026

A complete solution to the Grünbaum--Loewner centroid problems

Wang Shouda, Xiong Ge, Yang Kaiwen

In the 1960s, Grünbaum and Loewner raised problems concerning the minimum possible number of hyperplane sections of a convex body in $R^{n}$ whose centroids coincide with the centroi…

math.CO2026

A Turán Theorem for Cayley Graphs

Wei Li, Kai Yang

In this note, we give a Turán theorem for Cayley graphs $\Cay(\Z_p,S)$ over prime cyclic groups $Z_{p}$ . For a graph $F$ and a finite abelian group $G$ , define the Cayley--Turán num…

math.CO2026

Odd cycles in symmetric Cayley graphs on prime cyclic groups

Wei Li, Kai Yang

Let $p$ be an odd prime and let $S \subseteq Z_{p}$ be symmetric with $0 \in / S$ . Let $\Cay(\Z_p,S)$ be the undirected Cayley graph on $Z_{p}$ in which $x$ and $y$ are adjacent if an…