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» On Testing Expansion in Bounded-Degree Graphs
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COMBINATORICA
2007
117views more  COMBINATORICA 2007»
14 years 9 months ago
Embedding nearly-spanning bounded degree trees
We derive a sufficient condition for a sparse graph G on n vertices to contain a copy of a tree T of maximum degree at most d on (1 − )n vertices, in terms of the expansion prop...
Noga Alon, Michael Krivelevich, Benny Sudakov
87
Voted
ECCC
2006
123views more  ECCC 2006»
14 years 9 months ago
A Note on Adaptivity in Testing Properties of Bounded Degree Graphs
We show that in the bounded degree model for graph property testing, adaptivity is essential. An algorithm is non-adaptive if it makes all queries to the input before receiving an...
Sofya Raskhodnikova, Adam Smith
COMBINATORICA
1999
89views more  COMBINATORICA 1999»
14 years 9 months ago
A Sublinear Bipartiteness Tester for Bounded Degree Graphs
We present a sublinear-time algorithm for testing whether a bounded degree graph is bipartite or far from being bipartite. Graphs are represented by incidence lists of bounded len...
Oded Goldreich, Dana Ron
102
Voted
FOCS
2002
IEEE
15 years 2 months ago
A Lower Bound for Testing 3-Colorability in Bounded-Degree Graphs
We consider the problem of testing 3-colorability in the bounded-degree model. We show that, for small enough ε, every tester for 3colorability must have query complexity Ω(n)....
Andrej Bogdanov, Kenji Obata, Luca Trevisan
EJC
2008
14 years 9 months ago
Grad and classes with bounded expansion III. Restricted graph homomorphism dualities
We study restricted homomorphism dualities in the context of classes with bounded expansion. This presents a generalization of restricted dualities obtained earlier for bounded deg...
Jaroslav Nesetril, Patrice Ossona de Mendez