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» An Expansion Tester for Bounded Degree Graphs
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EJC
2010
14 years 11 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...
EJC
2008
14 years 11 months ago
Grad and classes with bounded expansion II. Algorithmic aspects
Abstract. Classes of graphs with bounded expansion are a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new invariant, t...
Jaroslav Nesetril, Patrice Ossona de Mendez
EJC
2008
14 years 11 months ago
Grad and classes with bounded expansion I. Decompositions
Abstract. We introduce classes of graphs with bounded expansion as a generalization of both proper minor closed classes and degree bounded classes. Such classes are based on a new ...
Jaroslav Nesetril, Patrice Ossona de Mendez
96
Voted
EJC
2008
14 years 11 months ago
Expansion properties of a random regular graph after random vertex deletions
We investigate the following vertex percolation process. Starting with a random regular graph of constant degree, delete each vertex independently with probability p, where p = n-...
Catherine S. Greenhill, Fred B. Holt, Nicholas C. ...
83
Voted
STOC
2003
ACM
114views Algorithms» more  STOC 2003»
15 years 12 months ago
Testing subgraphs in directed graphs
Let H be a fixed directed graph on h vertices, let G be a directed graph on n vertices and suppose that at least n2 edges have to be deleted from it to make it H-free. We show tha...
Noga Alon, Asaf Shapira