On the packing chromatic number of subcubic outerplanar graphs

被引：17
|
作者：
Gastineau, Nicolas [1 ]
Holub, Premysl [2 ]
Togni, Olivier [3 ]
机构：
[1] Univ Paris 09, PSL, LAMSADE UMR7243, Paris, France
[2] Univ West Bohemia, Dept Math, European Ctr Excellence NTIS New Technol Informat, POB 314, Plzen 30614, Czech Republic
[3] Univ Bourgogne Franche Comte, Le2I FRE2005, F-21000 Dijon, France
来源：
DISCRETE APPLIED MATHEMATICS | 2019年 / 255卷
关键词：
Packing colouring; Packing chromatic number; Outerplanar graphs; Subcubic graphs; COLORINGS; PRODUCT; LATTICE; SQUARE;
D O I：
10.1016/j.dam.2018.07.034
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Although it has recently been proved that the packing chromatic number is unbounded on the class of subcubic graphs, there exist subclasses in which the packing chromatic number is finite (and small). These subclasses include subcubic trees, base-3 Sierpinski graphs and hexagonal lattices. In this paper we are interested in the packing chromatic number of subcubic outerplanar graphs. We provide asymptotic bounds depending on structural properties of the outerplanar graphs and determine sharper bounds for some classes of subcubic outerplanar graphs. (C) 2018 Elsevier B.V. All rights reserved.
引用
收藏
页码：209 / 221
页数：13
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