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» Fast Minor Testing in Planar Graphs
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ESA
2010
Springer
136views Algorithms» more  ESA 2010»
15 years 1 months ago
Fast Minor Testing in Planar Graphs
Minor containment is a fundamental problem in Algorithmic Graph Theory, as numerous graph algorithms use it as a subroutine. A model of a graph H in a graph G is a set of disjoint ...
Isolde Adler, Frederic Dorn, Fedor V. Fomin, Ignas...
105
Voted
ECCC
2008
122views more  ECCC 2008»
15 years 11 days 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
103
Voted
FOCS
2009
IEEE
15 years 7 months ago
Planarity Allowing Few Error Vertices in Linear Time
— We show that for every fixed k, there is a linear time algorithm that decides whether or not a given graph has a vertex set X of order at most k such that G − X is planar (w...
Ken-ichi Kawarabayashi
STACS
2001
Springer
15 years 4 months ago
Evasiveness of Subgraph Containment and Related Properties
We prove new results on evasiveness of monotone graph properties by extending the techniques of Kahn, Saks, and Sturtevant [Combinatorica, 4 (1984), pp. 297–306]. For the propert...
Amit Chakrabarti, Subhash Khot, Yaoyun Shi
IPPS
2005
IEEE
15 years 6 months ago
An Experimental Study of Parallel Biconnected Components Algorithms on Symmetric Multiprocessors (SMPs)
We present an experimental study of parallel biconnected components algorithms employing several fundamental parallel primitives, e.g., prefix sum, list ranking, sorting, connect...
Guojing Cong, David A. Bader