Decomposing 10-Regular Graphs into Paths of Length 5

Let G be a 10-regular graph which does not contain any 4-cycles. In this paper, we prove that G can be decomposed into paths of length 5, such that every vertex is a terminal of exactly two paths.

Bibliographic Details
Main Authors: Xie Mengmeng, Zhou Chuixiang
Format: Article
Language:English
Published: University of Zielona Góra 2022-11-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.2334