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COMBINATORICA
2010
13 years 5 months ago
Approximation algorithms via contraction decomposition
We prove that the edges of every graph of bounded (Euler) genus can be partitioned into any prescribed number k of pieces such that contracting any piece results in a graph of bou...
Erik D. Demaine, MohammadTaghi Hajiaghayi, Bojan M...
STACS
2007
Springer
14 years 4 months ago
The Polynomially Bounded Perfect Matching Problem Is in NC 2
Abstract. The perfect matching problem is known to be in ¶, in randomized NC, and it is hard for NL. Whether the perfect matching problem is in NC is one of the most prominent ope...
Manindra Agrawal, Thanh Minh Hoang, Thomas Thierau...
CSL
2008
Springer
13 years 11 months ago
On Counting Generalized Colorings
Abstract. The notion of graph polynomials definable in Monadic Second Order Logic, MSOL, was introduced in [Mak04]. It was shown that the Tutte polynomial and its generalization, a...
Tomer Kotek, Johann A. Makowsky, Boris Zilber
FOCS
2009
IEEE
14 years 4 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
PKDD
2000
Springer
159views Data Mining» more  PKDD 2000»
14 years 1 months ago
An Apriori-Based Algorithm for Mining Frequent Substructures from Graph Data
Abstract. This paper proposes a novel approach named AGM to eciently mine the association rules among the frequently appearing substructures in a given graph data set. A graph tran...
Akihiro Inokuchi, Takashi Washio, Hiroshi Motoda