11 papers
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 is said to be {\em odd -edge-colorable} if there exists an edge-coloring $E(G) \…
Berge -Factors of Regular Hypergraphs
Mikio Kano, Shun-ichi Maezawa, Akira Saito +1
A Berge -factor in a hypergraph is a generalization of a -factor in a graph. In this paper, we study the problem of determining the values such that every -edge-connec…
List packing of graphs with bounded tree-width
Masaki Kashima, Shun-ichi Maezawa, Xuding Zhu
Assume is a -assignment of a graph . An -packing of is a sequence of -mappings such that each is an -coloring of , and fo…
Tree versus tree of preorder induced by rainbow forbidden subgraphs
Shun-ichi Maezawa
A subgraph of an edge-colored graph is rainbow if all the edges of receive different colors. If does not contain a rainbow subgraph isomorphic to , we say that $…
A generalization of an ear decomposition and k-trees in highly connected star-free graphs
Shun-ichi Maezawa, Kenta Ozeki, Masaki Yamamoto +1
In this paper, we introduce a generalized version of an ear decomposition, called a -spider decomposition, for -connected star-free graphs with . Its application en…
Preorder induced by rainbow forbidden subgraphs
Shun-ichi Maezawa, Akira Saito
A subgraph of an edge-colored graph is rainbow if all the edges of receive different colors. If does not contain a rainbow subgraph isomorphic to , we say that $…