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