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SODA
2003
ACM
103views Algorithms» more  SODA 2003»
14 years 11 months ago
On the rectilinear crossing number of complete graphs
We prove a lower bound of 0.3288   n 4¡ for the rectilinear crossing number cr(Kn) of a complete graph on n vertices, or in other words, for the minimum number of convex quadril...
Uli Wagner
AAECC
2005
Springer
114views Algorithms» more  AAECC 2005»
14 years 9 months ago
The adjacency graph of a real algebraic surface
Abstract. The paper deals with the question of recognizing the mutual positions of the connected components of a non-singular real projective surface S in the real projective 3-spa...
Elisabetta Fortuna, Patrizia M. Gianni, Domenico L...
UAI
1996
14 years 11 months ago
A Graph-Theoretic Analysis of Information Value
We derive qualitative relationships about the informationalrelevance of variables in graphical decision models based on a consideration of the topology of the models. Speci cally,...
Kim-Leng Poh, Eric Horvitz
SODA
2008
ACM
123views Algorithms» more  SODA 2008»
14 years 11 months ago
Delaunay graphs of point sets in the plane with respect to axis-parallel rectangles
Given a point set P in the plane, the Delaunay graph with respect to axis-parallel rectangles is a graph defined on the vertex set P, whose two points p, q P are connected by an ...
Xiaomin Chen, János Pach, Mario Szegedy, G&...
CORR
2011
Springer
143views Education» more  CORR 2011»
14 years 1 months ago
Polynomial kernels for Proper Interval Completion and related problems
Given a graph G = (V, E) and a positive integer k, the Proper Interval Completion problem asks whether there exists a set F of at most k pairs of (V × V ) \ E such that the graph...
Stéphane Bessy, Anthony Perez