Kenta Ozeki

collaborators

3 papers

math.CO2026

Odd Edge Colorings of Graphs with Odd Order

Mikio Kano, Shun-ichi Maezawa, Kenta Ozeki

An {\em odd subgraph} of a graph is a subgraph in which every vertex has odd degree. A graph $G$ is said to be {\em odd $k$ -edge-colorable} if there exists an edge-coloring $E(G) \…

math.CO2026

Boolean lattice without small rainbow subposets

Gyula O. H. Katona, Yaping Mao, Kenta Ozeki +2

A Boolean lattice $B_{n} = (2^{X}, \leq)$ is the power set of an $n$ -element ground set $X$ equipped with inclusion relation. For two posets $P$ and $Q$ , we…

math.CO2025

Ramsey numbers for partially-ordered sets

Gyula O. H. Katona, Yaping Mao, Kenta Ozeki +1

We say that a poset $Q$ contains a copy (resp.~an induced copy) of a poset $P$ if there is an injection $f : P \to Q$ such that for any $x, y \in P$ , $f (x) \leq f (y)$ in $Q$ if (resp…