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ECCC
2000
117views more  ECCC 2000»
13 years 6 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
WAOA
2010
Springer
251views Algorithms» more  WAOA 2010»
13 years 4 months ago
How to Play Unique Games on Expanders
In this paper, we improve a result by Arora, Khot, Kolla, Steurer, Tulsiani, and Vishnoi on solving the Unique Games problem on expanders. Given a (1-)-satisfiable instance of Uniq...
Konstantin Makarychev, Yury Makarychev
CORR
2010
Springer
198views Education» more  CORR 2010»
13 years 3 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...
COMBINATORICS
2000
138views more  COMBINATORICS 2000»
13 years 6 months ago
Quasi-Spectral Characterization of Strongly Distance-Regular Graphs
A graph with diameter d is strongly distance-regular if is distanceregular and its distance-d graph d is strongly regular. The known examples are all the connected strongly regu...
Miguel Angel Fiol
ORL
2008
115views more  ORL 2008»
13 years 6 months ago
Maximum algebraic connectivity augmentation is NP-hard
The algebraic connectivity of a graph, which is the second-smallest eigenvalue of the Laplacian of the graph, is a measure of connectivity. We show that the problem of adding a sp...
Damon Mosk-Aoyama