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» Conditional colorings of graphs
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GD
1994
Springer
14 years 18 days ago
Visibility Graphs and Oriented Matroids
We describe a set of necessary conditions for a given graph to be the visibility graph of a simple polygon. For every graph satisfying these conditions we show that a uniform rank ...
James Abello, Krishna Kumar
DAM
2002
82views more  DAM 2002»
13 years 8 months ago
On the computational complexity of strong edge coloring
In the strong edge coloring problem, the objective is to color the edges of the given graph with the minimum number of colors so that every color class is an induced matching. In ...
Mohammad Mahdian
JCT
2007
111views more  JCT 2007»
13 years 8 months ago
Lattice point counts for the Shi arrangement and other affinographic hyperplane arrangements
Hyperplanes of the form xj = xi + c are called affinographic. For an affinographic hyperplane arrangement in Rn, such as the Shi arrangement, we study the function f(m) that counts...
David Forge, Thomas Zaslavsky
ISAAC
2009
Springer
131views Algorithms» more  ISAAC 2009»
14 years 3 months ago
A Certifying Algorithm for 3-Colorability of P5-Free Graphs
We provide a certifying algorithm for the problem of deciding whether a P5-free graph is 3-colorable by showing there are exactly six finite graphs that are P5-free and not 3-colo...
Daniel Bruce, Chính T. Hoàng, Joe Sa...
JGT
2010
113views more  JGT 2010»
13 years 7 months ago
Coloring plane graphs with independent crossings
We show that every plane graph with maximum face size four whose all faces of size four are vertex-disjoint is cyclically 5-colorable. This answers a question of Albertson whether...
Daniel Král', Ladislav Stacho