Internally Fair Factorizations and Internally Fair Holey Factorizations with Prescribed Regularity

[摘要] Let $G$ be a multipartite multigraph without loops. Then $G$ is said to be internally fair if its edges are shared as evenly as possible among all pairs of its partite sets. An internally fair factorization of $G$ is an edge-decomposition of $G$ into inte

[学科分类] 离散数学和组合数学

[关键词] Graph Decompositions;Fair Factorizations;Holey Factorizations;Prescribed Regularity