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ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
13 years 5 months ago
Improved Algorithms for Constructing Fault-Tolerant Spanners
Let S be a set of n points in a metric space, and k a positive integer. Algorithms are given that construct k-fault-tolerant spanners for S. If in such a spanner at most k vertice...
Christos Levcopoulos, Giri Narasimhan, Michiel H. ...
FOCS
1994
IEEE
13 years 8 months 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
CORR
2008
Springer
98views Education» more  CORR 2008»
13 years 5 months ago
Spanners of Additively Weighted Point Sets
Prosenjit Bose, Paz Carmi, Mathieu Couture
STACS
2007
Springer
13 years 11 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
SODA
2007
ACM
123views Algorithms» more  SODA 2007»
13 years 6 months ago
Region-fault tolerant geometric spanners
We introduce the concept of region-fault tolerant spanners for planar point sets, and prove the existence of region-fault tolerant spanners of small size. For a geometric graph G ...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...