Mikio Kano

collaborators

2 papers

math.CO2026

Berge $k$ -Factors of Regular Hypergraphs

Mikio Kano, Shun-ichi Maezawa, Akira Saito +1

A Berge $k$ -factor in a hypergraph is a generalization of a $k$ -factor in a graph. In this paper, we study the problem of determining the values $k$ such that every $I^»$ -edge-conne…

math.CO2025

Spanning path-cycle systems with given end-vertices in regular graphs (full version)

Yoshimi Egawa, Mikio Kano, Kenta Ozeki

We prove the following theorem. Let $r \geq 4$ be an integer, and $G$ be a $K_{1, r}$ -free $r$ -edge-connected $r$ -regular graph. Then, for every set $W$ of even number of vertices of…

Berge k-Factors of Regular Hypergraphs

Spanning path-cycle systems with given end-vertices in regular graphs (full version)

Berge $k$ -Factors of Regular Hypergraphs