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» Approximating the geometric minimum-diameter spanning tree
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STOC
2005
ACM
184views Algorithms» more  STOC 2005»
13 years 11 months ago
Coresets in dynamic geometric data streams
A dynamic geometric data stream consists of a sequence of m insert/delete operations of points from the discrete space {1, . . . , ∆}d [26]. We develop streaming (1 + )-approxim...
Gereon Frahling, Christian Sohler
WADS
2007
Springer
180views Algorithms» more  WADS 2007»
13 years 11 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
MOBIHOC
2002
ACM
14 years 4 months ago
Message-optimal connected dominating sets in mobile ad hoc networks
A connected dominating set (CDS) for a graph G(V, E) is a subset V of V , such that each node in V - V is adjacent to some node in V , and V induces a connected subgraph. A CDS ha...
Khaled M. Alzoubi, Peng-Jun Wan, Ophir Frieder
AINA
2005
IEEE
13 years 11 months ago
Dynamical Construction of a Core-Based Group-Shared Multicast Tree in Mobile Ad Hoc Networks
A core-based group-shared multicast tree is a shortest path tree rooted at core node that distributes packets to and from all group members. Traditionally, the bandwidth cost cons...
Bing-Hong Liu, Ming-Jer Tsai, Wei-Chei Ko
STACS
2010
Springer
14 years 9 days ago
Long Non-crossing Configurations in the Plane
We revisit several maximization problems for geometric networks design under the non-crossing constraint, first studied by Alon, Rajagopalan and Suri (ACM Symposium on Computation...
Noga Alon, Sridhar Rajagopalan, Subhash Suri