Notes on Equitable Partitions into Matching Forests in Mixed Graphs and into $b$-branchings in Digraphs

An equitable partition into branchings in a digraph is a partition of the arc set into branchings such that the sizes of any two branchings differ at most by one. For a digraph whose arc set can be partitioned into $k$ branchings, there always exists an equitable partition into $k$ branchings. In th...

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Bibliographic Details
Main Author: Kenjiro Takazawa
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2022-03-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/8719/pdf