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» Testing Expansion in Bounded-Degree Graphs
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COMBINATORICA
2007
117views more  COMBINATORICA 2007»
13 years 5 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
ECCC
2006
123views more  ECCC 2006»
13 years 5 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»
13 years 5 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
FOCS
2002
IEEE
13 years 10 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
13 years 5 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