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» Coloring powers of planar graphs
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SODA
2000
ACM
121views Algorithms» more  SODA 2000»
13 years 6 months ago
Coloring powers of planar graphs
We give nontrivial bounds for the inductiveness or degeneracy of power graphs Gk of a planar graph G. This implies bounds for the chromatic number as well, since the inductiveness ...
Geir Agnarsson, Magnús M. Halldórsso...
DM
2010
131views more  DM 2010»
13 years 4 months ago
Planar graphs without adjacent cycles of length at most seven are 3-colorable
We prove that every planar graph in which no i-cycle is adjacent to a j-cycle whenever 3 i j 7 is 3-colorable and pose some related problems on the 3-colorability of planar grap...
Oleg V. Borodin, Mickaël Montassier, Andr&eac...
STOC
2007
ACM
110views Algorithms» more  STOC 2007»
14 years 5 months ago
Randomly coloring planar graphs with fewer colors than the maximum degree
Thomas P. Hayes, Juan Carlos Vera, Eric Vigoda
ALGORITHMICA
2008
142views more  ALGORITHMICA 2008»
13 years 4 months ago
New Linear-Time Algorithms for Edge-Coloring Planar Graphs
We show efficient algorithms for edge-coloring planar graphs. Our main result is a linear-time algorithm for coloring planar graphs with maximum degree with max{, 9} colors. Thus...
Richard Cole, Lukasz Kowalik
GC
2002
Springer
13 years 4 months ago
n-Tuple Coloring of Planar Graphs with Large Odd Girth
The main result of the papzer is that any planar graph with odd girth at least 10k
William Klostermeyer, Cun-Quan Zhang