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» The independence number in graphs of maximum degree three
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PPL
2000
91views more  PPL 2000»
14 years 9 months ago
A Parallel Algorithm for Planar Orthogonal Grid Drawings
In this paper we consider the problem of constructing planar orthogonal grid drawings or more simply, layouts of graphs, with the goal of minimizing the number of bends along the ...
Roberto Tamassia, Ioannis G. Tollis, Jeffrey Scott...
JGAA
2010
128views more  JGAA 2010»
14 years 8 months ago
Intersection Graphs of Pseudosegments: Chordal Graphs
We investigate which chordal graphs have a representation as intersection graphs of pseudosegments. For positive we have a construction which shows that all chordal graphs that ca...
Cornelia Dangelmayr, Stefan Felsner, William T. Tr...
SODA
2004
ACM
160views Algorithms» more  SODA 2004»
14 years 11 months ago
On colorings of squares of outerplanar graphs
We study vertex colorings of the square G2 of an outerplanar graph G. We find the optimal bound of the inductiveness, chromatic number and the clique number of G2 as a function of...
Geir Agnarsson, Magnús M. Halldórsso...
71
Voted
GD
2004
Springer
15 years 3 months ago
No-Three-in-Line-in-3D
The no-three-in-line problem, introduced by Dudeney in 1917, asks for the maximum number of points in the n × n grid with no three points collinear. In 1951, Erd¨os proved that t...
Attila Pór, David R. Wood
DAM
2008
131views more  DAM 2008»
14 years 9 months ago
Partition into cliques for cubic graphs: Planar case, complexity and approximation
Given a graph G = (V, E) and a positive integer k, the PARTITION INTO CLIQUES (PIC) decision problem consists of deciding whether there exists a partition of V into k disjoint sub...
Márcia R. Cerioli, L. Faria, T. O. Ferreira...