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ESA
2003
Springer
118views Algorithms» more  ESA 2003»
14 years 21 days 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
JGAA
2008
100views more  JGAA 2008»
13 years 7 months ago
Parameters of Bar k-Visibility Graphs
Bar k-visibility graphs are graphs admitting a representation in which the vertices correspond to horizontal line segments, called bars, and the edges correspond to vertical lines...
Stefan Felsner, Mareike Massow
GD
1999
Springer
13 years 11 months ago
Visibility Representations of Complete Graphs
Abstract. In this paper we study 3-dimensional visibility representations of complete graphs. The vertices are represented by equal regular polygons lying in planes parallel to the...
Robert Babilon, Helena Nyklová, Ondrej Pang...
CPC
2007
88views more  CPC 2007»
13 years 7 months ago
Zero-Free Intervals for Flow Polynomials of Near-Cubic Graphs
Let P(G,t) and F(G,t) denote the chromatic and flow polynomials of a graph G. G.D. Birkhoff and D.C. Lewis showed that, if G is a plane near triangulation, then the only zeros of...
Bill Jackson
GD
2007
Springer
14 years 1 months ago
A Bipartite Strengthening of the Crossing Lemma
Let G = (V, E) be a graph with n vertices and m ≥ 4n edges drawn in the plane. The celebrated Crossing Lemma states that G has at least Ω(m3 /n2 ) pairs of crossing edges; or ...
Jacob Fox, János Pach, Csaba D. Tóth