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ALGORITHMICA
2007
80views more  ALGORITHMICA 2007»
15 years 6 months ago
Tree Spanners for Bipartite Graphs and Probe Interval Graphs
A tree t-spanner T in a graph G is a spanning tree of G such that the distance between every pair of vertices in T is at most t times their distance in G. The tree t-spanner proble...
Andreas Brandstädt, Feodor F. Dragan, Ho&agra...
ECCC
2008
122views more  ECCC 2008»
15 years 6 months ago
Every Minor-Closed Property of Sparse Graphs is Testable
Testing a property P of graphs in the bounded degree model is the following computational problem: given a graph G of bounded degree d we should distinguish (with probability 0.9,...
Itai Benjamini, Oded Schramm, Asaf Shapira
MLQ
2007
91views more  MLQ 2007»
15 years 6 months ago
Almost everywhere domination and superhighness
Let ω denote the set of natural numbers. For functions f, g : ω → ω, we say that f is dominated by g if f(n) < g(n) for all but finitely many n ∈ ω. We consider the st...
Stephen G. Simpson
PROPERTYTESTING
2010
15 years 4 months ago
Transitive-Closure Spanners: A Survey
We survey results on transitive-closure spanners and their applications. Given a directed graph G = (V, E) and an integer k 1, a k-transitive-closure-spanner (k-TC-spanner) of G ...
Sofya Raskhodnikova
COMBINATORICA
2010
15 years 4 months ago
A randomized embedding algorithm for trees
In this paper, we propose a simple and natural randomized algorithm to embed a tree T in a given graph G. The algorithm can be viewed as a "self-avoiding tree-indexed random ...
Benny Sudakov, Jan Vondrák