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WADS
2007
Springer
145views Algorithms» more  WADS 2007»
13 years 11 months ago
Approximate Shortest Paths Guided by a Small Index
Distance oracles and graph spanners are excerpts of a graph that allow to compute approximate shortest paths. Here, we consider the situation where it is possible to access the ori...
Jörg Derungs, Riko Jacob, Peter Widmayer
DCG
2008
93views more  DCG 2008»
13 years 5 months ago
Metric Combinatorics of Convex Polyhedra: Cut Loci and Nonoverlapping Unfoldings
Let S be the boundary of a convex polytope of dimension d + 1, or more generally let S be a convex polyhedral pseudomanifold. We prove that S has a polyhedral nonoverlapping unfold...
Ezra Miller, Igor Pak
STOC
2003
ACM
153views Algorithms» more  STOC 2003»
14 years 5 months ago
Sublinear geometric algorithms
We initiate an investigation of sublinear algorithms for geometric problems in two and three dimensions. We give optimal algorithms for intersection detection of convex polygons a...
Bernard Chazelle, Ding Liu, Avner Magen
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
AINA
2005
IEEE
13 years 10 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