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FOCS
1994
IEEE
15 years 3 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
NETWORKS
2002
14 years 11 months ago
Approximation algorithms for constructing wavelength routing networks
Consider a requirement graph whose vertices represent customers and an edge represents the need to route a unit of flow between its end vertices along a single path. All of these ...
Refael Hassin, Asaf Levin
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
15 years 6 months ago
Spanners for Geometric Intersection Graphs
A ball graph is an intersection graph of a set of balls with arbitrary radii. Given a real number t > 1, we say that a subgraph G′ of a graph G is a t-spanner of G, if for eve...
Martin Fürer, Shiva Prasad Kasiviswanathan
AHSWN
2008
92views more  AHSWN 2008»
15 years 10 hour ago
The (k, l) Coredian Tree for Ad Hoc Networks
In this paper, we present a new efficient strategy for constructing a wireless tree network containing n nodes of diameter while satisfying the QoS requirements such as bandwidth...
Amit Dvir, Michael Segal
COMGEO
1999
ACM
14 years 11 months ago
Dynamic algorithms for geometric spanners of small diameter: Randomized solutions
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