Facial rainbow edge-coloring of simple 3-connected plane graphs

A facial rainbow edge-coloring of a plane graph \(G\) is an edge-coloring such that any two edges receive distinct colors if they lie on a common facial path of \(G\). The minimum number of colors used in such a coloring is denoted by \(\text{erb}(G)\). Trivially, \(\text{erb}(G) \geq \text{L}(G)+1\...

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Bibliographic Details
Main Author: Július Czap
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2020-07-01
Series:Opuscula Mathematica
Subjects:
Online Access:https://www.opuscula.agh.edu.pl/vol40/4/art/opuscula_math_4025.pdf