Kai Yang

activity

20242026

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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.CO2026

A TurÃ¡n Theorem for Cayley Graphs

Wei Li, Kai Yang

In this note, we give a TurÃ¡n 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--TurÃ¡n n…

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…

math.MG2026

A complete solution to the GrÃ¼nbaum--Loewner centroid problems

Xiong Ge, Wang Shouda, Yang Kai-Wen +1

In the 1960s, GrÃ¼nbaum and Loewner raised problems concerning the minimum possible number of hyperplane sections of a convex body in $R^{n}$ whose centroids coincide with the centro…