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ESA
2010
Springer
172views Algorithms» more  ESA 2010»
15 years 5 months ago
Algorithmic Meta-theorems for Restrictions of Treewidth
Abstract. Possibly the most famous algorithmic meta-theorem is Courcelle's theorem, which states that all MSO-expressible graph properties are decidable in linear time for gra...
Michael Lampis
CORR
2010
Springer
107views Education» more  CORR 2010»
15 years 1 months ago
Metric uniformization and spectral bounds for graphs
We present a method for proving upper bounds on the eigenvalues of the graph Laplacian. A main step involves choosing an appropriate "Riemannian" metric to uniformize th...
Jonathan A. Kelner, James R. Lee, Gregory N. Price...
CORR
2010
Springer
95views Education» more  CORR 2010»
15 years 4 months ago
Nowhere dense graph classes, stability, and the independence property
A class of graphs is nowhere dense if for every integer r there is a finite upper bound on the size of cliques that occur as (topological) r-minors. We observe that this tameness ...
Hans Adler, Isolde Adler
WDAG
2010
Springer
233views Algorithms» more  WDAG 2010»
15 years 2 months ago
Minimum Dominating Set Approximation in Graphs of Bounded Arboricity
Abstract. Since in general it is NP-hard to solve the minimum dominating set problem even approximatively, a lot of work has been dedicated to central and distributed approximation...
Christoph Lenzen, Roger Wattenhofer
ECCC
2008
122views more  ECCC 2008»
15 years 4 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