The Color Number of Cubic Graphs Having a Spanning Tree with a Bounded Number of Leaves
The color number c(G) of a cubic graph G is the minimum cardinality of a color class of a proper 4-edge-coloring of G. It is well-known that every cubic graph G satisfies c(G) = 0 if G has a Hamiltonian cycle, and c(G) ≤ 2 if G has a Hamiltonian path. In this paper, we extend these observations by o...
Main Authors: | , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Georgia Southern University
2021-07-01
|
Series: | Theory and Applications of Graphs |
Subjects: | |
Online Access: | https://digitalcommons.georgiasouthern.edu/tag/vol8/iss2/1 |