The packing chromatic number of the infinite square lattice is between 13 and 15

Author:

Martin Barnaby,Raimondi Franco,Chen Taolue,Martin Jos

Funder

EPSRC

Publisher

Elsevier BV

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics

Reference23 articles.

1. On the packing chromatic number of Cartesian products, hexagonal lattice, and trees;Brešar;Discrete Appl. Math.,2007

2. Packing chromatic number, (1, 1, 2, 2)-colorings, and characterizing the Petersen graph;Brešar;Aequationes Math.,2017

3. Satisfiability and computing van der Waerden numbers;Dransfield;Electron. J. Combin.,2004

4. J. Ekstein, J. Fiala, P. Holub, B. Lidický, The packing chromatic number of the square lattice is at least 12, 2011. CoRR https://arxiv.org/abs/1003.2291

5. Complexity of the packing coloring problem for trees;Fiala;Discrete Appl. Math.,2010

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1. Packing Chromatic Number of Windmill Related Graphs and Chain Silicate Networks;Trends in Mathematics;2023-08-24

2. The Packing Chromatic Number of the Infinite Square Grid is 15;Tools and Algorithms for the Construction and Analysis of Systems;2023

3. A characterization of 4-χρ-(vertex-)critical graphs;Filomat;2022

4. S-packing colorings of distance graphs G(Z,{2,t});Discrete Applied Mathematics;2021-07

5. On the packing chromatic number of Moore graphs;Discrete Applied Mathematics;2021-01

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