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An infinite family of subcubic graphs with unbounded packing chromatic number
Authors:Boštjan Brešar  Jasmina Ferme
Affiliation:1. Faculty of Natural Sciences and Mathematics, University of Maribor, Slovenia;2. Institute of Mathematics, Physics and Mechanics, Ljubljana, Slovenia;3. Faculty of Education, University of Maribor, Slovenia
Abstract:Recently, Balogh et al. (2018) answered in negative the question that was posed in several earlier papers whether the packing chromatic number is bounded in the class of graphs with maximum degree 3. In this note, we present an explicit infinite family of subcubic graphs with unbounded packing chromatic number.
Keywords:Packing  Coloring  Packing coloring  Diameter  Subcubic graph
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