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ESA
2010
Springer
136views Algorithms» more  ESA 2010»
13 years 10 months ago
Fast Minor Testing in Planar Graphs
Minor containment is a fundamental problem in Algorithmic Graph Theory, as numerous graph algorithms use it as a subroutine. A model of a graph H in a graph G is a set of disjoint ...
Isolde Adler, Frederic Dorn, Fedor V. Fomin, Ignas...
WG
2007
Springer
14 years 3 months ago
Mixing 3-Colourings in Bipartite Graphs
For a 3-colourable graph G, the 3-colour graph of G, denoted C3(G), is the graph with node set the proper vertex 3-colourings of G, and two nodes adjacent whenever the correspondi...
Luis Cereceda, Jan van den Heuvel, Matthew Johnson
SODA
2000
ACM
121views Algorithms» more  SODA 2000»
13 years 11 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...
ESA
2003
Springer
118views Algorithms» more  ESA 2003»
14 years 2 months ago
The Voronoi Diagram of Planar Convex Objects
This paper presents a dynamic algorithm for the construction of the Euclidean Voronoi diagram of a set of convex objects in the plane. We consider first the Voronoi diagram of smo...
Menelaos I. Karavelas, Mariette Yvinec
GMP
2010
IEEE
190views Solid Modeling» more  GMP 2010»
14 years 2 months ago
A Subdivision Approach to Planar Semi-algebraic Sets
Abstract. Semi-algebraic sets occur naturally when dealing with implicit models and boolean operations between them. In this work we present an algorithm to efficiently and in a ce...
Angelos Mantzaflaris, Bernard Mourrain