On locally irregular decompositions of subcubic graphs

A graph \(G\) is locally irregular if every two adjacent vertices of \(G\) have different degrees. A locally irregular decomposition of \(G\) is a partition \(E_1,\dots,E_k\) of \(E(G)\) such that each \(G[E_i]\) is locally irregular. Not all graphs admit locally irregular decompositions, but for th...

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Bibliographic Details
Main Authors: Olivier Baudon, Julien Bensmail, Hervé Hocquard, Mohammed Senhaji, Éric Sopena
Format: Article
Language:English
Published: AGH Univeristy of Science and Technology Press 2018-01-01
Series:Opuscula Mathematica
Subjects:
Online Access:http://www.opuscula.agh.edu.pl/vol38/6/art/opuscula_math_3836.pdf