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SODA
2008
ACM
105views Algorithms» more  SODA 2008»
15 years 3 months ago
Distribution-sensitive point location in convex subdivisions
A data structure is presented for point location in convex planar subdivisions when the distribution of queries is known in advance. The data structure has an expected query time t...
Sébastien Collette, Vida Dujmovic, John Iac...
CORR
2008
Springer
76views Education» more  CORR 2008»
15 years 1 months ago
Succinct Geometric Indexes Supporting Point Location Queries
We propose to design data structures called succinct geometric indexes of negligible space (more precisely, o(n) bits) that support geometric queries in optimal time, by taking adv...
Prosenjit Bose, Eric Y. Chen, Meng He, Anil Mahesh...
ENTCS
2008
124views more  ENTCS 2008»
15 years 1 months ago
Modular Games for Coalgebraic Fixed Point Logics
We build on existing work on finitary modular coalgebraic logics [3,4], which we extend with general fixed points, including CTL- and PDL-like fixed points, and modular evaluation...
Corina Cîrstea, Mehrnoosh Sadrzadeh
COMBINATORICS
2006
105views more  COMBINATORICS 2006»
15 years 1 months ago
Sets of Points Determining Only Acute Angles and Some Related Colouring Problems
We present both probabilistic and constructive lower bounds on the maximum size of a set of points S Rd such that every angle determined by three points in S is acute, considerin...
David Bevan
SIAMDM
2008
110views more  SIAMDM 2008»
15 years 1 months ago
The Minimum Number of Distinct Areas of Triangles Determined by a Set of n Points in the Plane
We prove a conjecture of Erdos, Purdy, and Straus on the number of distinct areas of triangles determined by a set of n points in the plane. We show that if P is a set of n points...
Rom Pinchasi