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ALGORITHMICA
2002
101views more  ALGORITHMICA 2002»
15 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
15 years 9 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»
15 years 6 months ago
Spanners of Additively Weighted Point Sets
Prosenjit Bose, Paz Carmi, Mathieu Couture
STACS
2007
Springer
16 years 3 days 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»
15 years 7 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, ...