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...

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Bibliographic Details
Main Authors: Analen Malnegro, Gina Malacas, Kenta Ozeki
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