An Even 2-Factor in the Line Graph of a Cubic Graph

An even 2-factor is one such that each cycle is of even length. A 4- regular graph G is 4-edge-colorable if and only if G has two edge-disjoint even 2- factors whose union contains all edges in G. It is known that the line graph of a cubic graph without 3-edge-coloring is not 4-edge-colorable. Hence...

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Bibliographic Details
Main Authors: SeungJae Eom, Kenta Ozeki
Format: Article
Language:English
Published: Georgia Southern University 2022-05-01
Series:Theory and Applications of Graphs
Subjects:
Online Access:https://digitalcommons.georgiasouthern.edu/tag/vol9/iss1/7/