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» Testing Expansion in Bounded-Degree Graphs
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EJC
2010
14 years 9 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»
14 years 9 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
15 years 4 months 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
14 years 11 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»
15 years 10 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