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JUCS
2007
148views more  JUCS 2007»
14 years 9 months ago
Analysis of two Sweep-line Algorithms for Constructing Spanning Trees and Steiner Trees
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
Adrian Dumitrescu, Csaba D. Tóth
JUCS
2010
117views more  JUCS 2010»
14 years 8 months ago
NP-completeness and FPT Results for Rectilinear Covering Problems
Abstract: This paper discusses three rectilinear (that is, axis-parallel) covering problems in d dimensions and their variants. The first problem is the Rectilinear Line Cover whe...
Vladimir Estivill-Castro, Apichat Heednacram, Fran...
DM
2006
91views more  DM 2006»
14 years 10 months ago
On the unique representability of spikes over prime fields
For an integer n 3, a rank-n matroid is called an n-spike if it consists of n three-point lines through a common point such that, for all k {1, 2, . . . , n - 1}, the union of e...
Zhaoyang Wu, Zhi-Wei Sun
COMPGEOM
2005
ACM
14 years 11 months ago
Kinetic sorting and kinetic convex hulls
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
Mohammad Ali Abam, Mark de Berg
JCDCG
2004
Springer
15 years 3 months ago
Farthest-Point Queries with Geometric and Combinatorial Constraints
In this paper we discuss farthest-point problems in which a set or sequence S of n points in the plane is given in advance and can be preprocessed to answer various queries efficie...
Ovidiu Daescu, Ningfang Mi, Chan-Su Shin, Alexande...