On path-cycle decompositions of triangle-free graphs

In this work, we study conditions for the existence of length-constrained path-cycle decompositions, that is, partitions of the edge set of a graph into paths and cycles of a given minimum length. Our main contribution is the characterization of the class of all triangle-free graphs with odd distanc...

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Bibliographic Details
Main Authors: Andrea Jiménez, Yoshiko Wakabayashi
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2017-10-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/659/pdf