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INFOCOM
2003
IEEE
15 years 2 months ago
Big-Bang Simulation for embedding network distances in Euclidean space
— Embedding of a graph metric in Euclidean space efficiently and accurately is an important problem in general with applications in topology aggregation, closest mirror selectio...
Yuval Shavitt, Tomer Tankel
91
Voted
SIAMCOMP
2000
125views more  SIAMCOMP 2000»
14 years 9 months ago
Approximating the Stretch Factor of Euclidean Graphs
There are several results available in the literature dealing with efficient construction of t-spanners for a given set S of n points in Rd. t-spanners are Euclidean graphs in whic...
Giri Narasimhan, Michiel H. M. Smid
ICRA
2010
IEEE
154views Robotics» more  ICRA 2010»
14 years 8 months ago
Multi-agent path planning with multiple tasks and distance constraints
— The DPC algorithm developed in our previous work is an efficient way of computing optimal trajectories for multiple robots in a distributed fashion with timeparameterized cons...
Subhrajit Bhattacharya, Maxim Likhachev, Vijay Kum...
WG
2004
Springer
15 years 2 months ago
Treelike Comparability Graphs: Characterization, Recognition, and Applications
An undirected graph is a treelike comparability graph if it admits a transitive orientation such that its transitive reduction is a tree. We show that treelike comparability graphs...
Sabine Cornelsen, Gabriele Di Stefano
STOC
2001
ACM
139views Algorithms» more  STOC 2001»
15 years 9 months ago
Approximate distance oracles
Let G = (V, E) be an undirected weighted graph with |V | = n and |E| = m. Let k 1 be an integer. We show that G = (V, E) can be preprocessed in O(kmn1/k ) expected time, construc...
Mikkel Thorup, Uri Zwick