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» Three-Clustering of Points in the Plane
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SODA
2004
ACM
151views Algorithms» more  SODA 2004»
14 years 11 months ago
Minimum moment Steiner trees
For a rectilinear Steiner tree T with a root, define its k-th moment Mk(T) = T (dT (u))k du, where the integration is over all edges of T, dT (u) is the length of the unique path ...
Wangqi Qiu, Weiping Shi
COMGEO
2010
ACM
14 years 9 months ago
Floodlight illumination of infinite wedges
The floodlight illumination problem asks whether there exists a one-to-one placement of n floodlights illuminating infinite wedges of angles 1, . . . , n at n sites p1, . . . , pn...
Matthew Cary, Atri Rudra, Ashish Sabharwal, Erik V...
DM
2010
89views more  DM 2010»
14 years 9 months ago
Polynomial-time dualization of r-exact hypergraphs with applications in geometry
Let H 2V be a hypergraph on vertex set V . For a positive integer r, we call H r-exact, if any minimal transversal of H intersects any hyperedge of H in at most r vertices. This ...
Khaled M. Elbassioni, Imran Rauf
DCC
2008
IEEE
14 years 9 months ago
A characterization of quadrics by intersection numbers
This work is inspired by a paper of Hertel and Pott on maximum non-linear functions [8]. Geometrically, these functions correspond with quasi-quadrics; objects introduced in [5]. ...
Jeroen Schillewaert
ENDM
2008
81views more  ENDM 2008»
14 years 9 months ago
The maximum number of halving lines and the rectilinear crossing number of Kn for n
For n 27 we present exact values for the maximum number h(n) of halving lines and h(n) of halving pseudolines, determined by n points in the plane. For this range of values of n ...
Bernardo M. Ábrego, Silvia Fernández...