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SODA
2004
ACM
156views Algorithms» more  SODA 2004»
14 years 11 months ago
Approximating Minimum Max-Stretch spanning Trees on unweighted graphs
Given a graph G and a spanning tree T of G, we say that T is a tree t-spanner of G if the distance between every pair of vertices in T is at most t times their distance in G. The p...
Yuval Emek, David Peleg
SODA
2004
ACM
111views Algorithms» more  SODA 2004»
14 years 11 months ago
Fast mixing for independent sets, colorings and other models on trees
We study the mixing time of the Glauber dynamics for general spin systems on bounded-degree trees, including the Ising model, the hard-core model (independent sets) and the antife...
Fabio Martinelli, Alistair Sinclair, Dror Weitz
SODA
2004
ACM
87views Algorithms» more  SODA 2004»
14 years 11 months ago
Optimal space lower bounds for all frequency moments
We prove that any one-pass streaming algorithm which ( , )-approximates the kth frequency moment Fk, for any real k = 1 and any = 1 m , must use 1 2 bits of space, where m is th...
David P. Woodruff
71
Voted
SODA
2004
ACM
111views Algorithms» more  SODA 2004»
14 years 11 months ago
Almost-Delaunay simplices: nearest neighbor relations for imprecise points
Delaunay tessellations and Voronoi diagrams capture proximity relationships among sets of points in any dimension. When point coordinates are not known exactly, as in the case of ...
Deepak Bandyopadhyay, Jack Snoeyink
SODA
2004
ACM
124views Algorithms» more  SODA 2004»
14 years 11 months ago
Family trees: an ordered dictionary with optimal congestion, locality, degree, and search time
We consider the problem of storing an ordered dictionary data structure over a distributed set of nodes. In contrast to traditional sequential data structures, distributed data st...
Kevin C. Zatloukal, Nicholas J. A. Harvey