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» Bounds on the metric and partition dimensions of a graph
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COMPGEOM
1992
ACM
13 years 9 months ago
On-Line Steiner Trees in the Euclidean Plane
Suppose we are given a sequence of n points in the Euclidean plane, and our objective is to construct, on-line, a connected graph that connects all of them, trying to minimize the...
Noga Alon, Yossi Azar
ESA
2009
Springer
127views Algorithms» more  ESA 2009»
13 years 10 months ago
Geometric Spanners for Weighted Point Sets
Let (S, d) be a finite metric space, where each element p ∈ S has a non-negative weight w(p). We study spanners for the set S with respect to weighted distance function dw, wher...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
COMPGEOM
2003
ACM
13 years 11 months ago
Local polyhedra and geometric graphs
We introduce a new realistic input model for geometric graphs and nonconvex polyhedra. A geometric graph G is local if (1) the longest edge at every vertex v is only a constant fa...
Jeff Erickson
STOC
2010
ACM
228views Algorithms» more  STOC 2010»
13 years 10 months ago
On the searchability of small-world networks with arbitrary underlying structure
Revisiting the “small-world” experiments of the ’60s, Kleinberg observed that individuals are very effective at constructing short chains of acquaintances between any two p...
Pierre Fraigniaud and George Giakkoupis
SIROCCO
2008
13 years 7 months ago
Recovering the Long-Range Links in Augmented Graphs
The augmented graph model, as introduced by Kleinberg (STOC 2000), is an appealing model for analyzing navigability in social networks. Informally, this model is defined by a pair...
Pierre Fraigniaud, Emmanuelle Lebhar, Zvi Lotker