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ALGORITHMICA
2010
159views more  ALGORITHMICA 2010»
13 years 8 months ago
Computing the Greedy Spanner in Near-Quadratic Time
It is well-known that the greedy algorithm produces high quality spanners and therefore is used in several applications. However, for points in d-dimensional Euclidean space, the g...
Prosenjit Bose, Paz Carmi, Mohammad Farshi, Anil M...
STACS
2007
Springer
14 years 2 months ago
Light Orthogonal Networks with Constant Geometric Dilation
An orthogonal spanner network for a given set of n points in the plane is a plane straight line graph with axis-aligned edges that connects all input points. We show that for any ...
Adrian Dumitrescu, Csaba D. Tóth
ESA
2010
Springer
133views Algorithms» more  ESA 2010»
13 years 9 months ago
Balancing Degree, Diameter and Weight in Euclidean Spanners
Abstract. In a seminal STOC'95 paper, Arya et al. [4] devised a construction that for any set S of n points in Rd and any > 0, provides a (1 + )-spanner with diameter O(lo...
Shay Solomon, Michael Elkin
ESA
2009
Springer
127views Algorithms» more  ESA 2009»
14 years 1 months ago
Geometric Spanners for Weighted Point Sets
Let (S, d) be a finite metric space, where each element p ∈ S has a non-negative weight w(p). We study spanners for the set S with respect to weighted distance function dw, wher...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
FOCS
1994
IEEE
14 years 2 days ago
Randomized and deterministic algorithms for geometric spanners of small diameter
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid