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SIAMDM
2008
143views more  SIAMDM 2008»
13 years 4 months ago
Coloring Bull-Free Perfectly Contractile Graphs
We consider the class of graphs that contain no bull, no odd hole, and no antihole of length at least five. We present a new algorithm that colors optimally the vertices of every g...
Benjamin Lévêque, Frédé...
COMBINATORICS
2006
155views more  COMBINATORICS 2006»
13 years 4 months ago
Orthogonal Art Galleries with Holes: A Coloring Proof of Aggarwal's Theorem
We prove that n+h 4 vertex guards are always sufficient to see the entire interior of an n-vertex orthogonal polygon P with an arbitrary number h of holes provided that there exis...
Pawel Zylinski
COMBINATORICS
2002
68views more  COMBINATORICS 2002»
13 years 4 months ago
Holes in Graphs
Yuejian Peng, Vojtech Rödl, Andrzej Rucinski
JCT
2006
79views more  JCT 2006»
13 years 4 months ago
A class of perfectly contractile graphs
We consider the class A of graphs that contain no odd hole, no antihole, and no "prism" (a graph consisting of two disjoint triangles with three disjoint paths between th...
Frédéric Maffray, Nicolas Trotignon
FAW
2007
Springer
115views Algorithms» more  FAW 2007»
13 years 11 months ago
An O ( nm )-Time Certifying Algorithm for Recognizing HHD-Free Graphs
In this paper, we consider the recognition problem on a class of perfectly orderable graphs, namely, the HHD-free graphs, i.e., graphs that do not contain any induced subgraph iso...
Stavros D. Nikolopoulos, Leonidas Palios