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» Compressing Bounded Degree Graphs
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ECCC
2007
124views more  ECCC 2007»
13 years 4 months ago
Testing Hereditary Properties of Non-Expanding Bounded-Degree Graphs
We study graph properties which are testable for bounded degree graphs in time independent of the input size. Our goal is to distinguish between graphs having a predetermined grap...
Artur Czumaj, Asaf Shapira, Christian Sohler
FAW
2009
Springer
177views Algorithms» more  FAW 2009»
13 years 11 months ago
Bounds on the Geometric Mean of Arc Lengths for Bounded-Degree Planar Graphs
Data access time becomes the main bottleneck in applications dealing with large-scale graphs. Cache-oblivious layouts, constructed to minimize the geometric mean of arc lengths of ...
Mohammad Khairul Hasan, Sung-Eui Yoon, Kyung-Yong ...
FOCS
2002
IEEE
13 years 9 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
COMBINATORICA
1999
89views more  COMBINATORICA 1999»
13 years 4 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
ECCC
2000
117views more  ECCC 2000»
13 years 4 months ago
On Testing Expansion in Bounded-Degree Graphs
We consider testing graph expansion in the bounded-degree graph model. Specifically, we refer to algorithms for testing whether the graph has a second eigenvalue bounded above by a...
Oded Goldreich, Dana Ron