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» Testing Expansion in Bounded-Degree Graphs
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EJC
2010
13 years 5 months ago
Bandwidth, expansion, treewidth, separators and universality for bounded-degree graphs
We establish relations between the bandwidth and the treewidth of bounded degree graphs G, and relate these parameters to the size of a separator of G as well as the size of an exp...
Julia Böttcher, Klaas P. Pruessmann, Anusch T...
ECCC
2008
122views more  ECCC 2008»
13 years 5 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
FOCS
2009
IEEE
14 years 15 days ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
COCOON
2008
Springer
13 years 7 months ago
Visual Cryptography on Graphs
In this paper, we consider a new visual cryptography scheme that allows for sharing of multiple secret images on graphs: we are given an arbitrary graph (V, E) where every node an...
Steve Lu, Daniel Manchala, Rafail Ostrovsky
STOC
2006
ACM
114views Algorithms» more  STOC 2006»
14 years 6 months ago
Linear time low tree-width partitions and algorithmic consequences
Classes of graphs with bounded expansion have been introduced in [15], [12]. They generalize both proper minor closed classes and classes with bounded degree. For any class with b...
Jaroslav Nesetril, Patrice Ossona de Mendez