Planar graphs of girth at least five are square (Δ + 2)-choosable

Author:

Bonamy Marthe,Cranston Daniel W.,Postle Luke

Funder

ANR

NSA

NSERC

Publisher

Elsevier BV

Subject

Computational Theory and Mathematics,Discrete Mathematics and Combinatorics,Theoretical Computer Science

Reference12 articles.

1. Colorings and orientations of graphs;Alon;Combinatorica,1992

2. Graphs with maximum degree Δ≥17 and maximum average degree less than 3 are list 2-distance (Δ+2)-colorable;Bonamy;Discrete Math.,2014

3. List coloring the square of sparse graphs with large degree;Bonamy;European J. Combin.,2014

4. Sufficient conditions for planar graphs to be 2-distance (Δ+1)-colorable;Borodin;Sib. Èlektron. Mat. Izv.,2004

5. 2-distance (Δ+2)-coloring of planar graphs with girth six and Δ≥18;Borodin;Discrete Math.,2009

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2. 2-Distance choosability of planar graphs with a restriction for maximum degree;Applied Mathematics and Computation;2023-07

3. 2-Distance coloring of planar graphs without adjacent 5-cycles;Journal of Combinatorial Optimization;2023-06-20

4. Coloring Squares of Planar Graphs with Maximum Degree at Most Five;Graphs and Combinatorics;2023-02-11

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