M_{2}-edge colorings of dense graphs

An edge coloring \(\varphi\) of a graph \(G\) is called an \(\mathrm{M}_i\)-edge coloring if \(|\varphi(v)|\leq i\) for every vertex \(v\) of \(G\), where \(\varphi(v)\) is the set of colors of edges incident with \(v\). Let \(\mathcal{K}_i(G)\) denote the maximum number of colors used in an \(\math...

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Bibliographic Details
Main Author: Jaroslav Ivančo
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2016-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol36/5/art/opuscula_math_3636.pdf