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» Locally Excluding a Minor
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LICS
2007
IEEE
14 years 5 months ago
Locally Excluding a Minor
We introduce the concept of locally excluded minors. Graph classes locally excluding a minor are a common generalisation of the concept of excluded minor classes and of graph clas...
Anuj Dawar, Martin Grohe, Stephan Kreutzer
NIPS
2007
14 years 10 days ago
Local Algorithms for Approximate Inference in Minor-Excluded Graphs
We present a new local approximation algorithm for computing MAP and logpartition function for arbitrary exponential family distribution represented by a finite-valued pair-wise ...
Kyomin Jung, Devavrat Shah
FOCS
2009
IEEE
14 years 5 months ago
Local Graph Partitions for Approximation and Testing
—We introduce a new tool for approximation and testing algorithms called partitioning oracles. We develop methods for constructing them for any class of bounded-degree graphs wit...
Avinatan Hassidim, Jonathan A. Kelner, Huy N. Nguy...
JCT
2006
62views more  JCT 2006»
13 years 11 months ago
On Rota's conjecture and excluded minors containing large projective geometries
We prove that an excluded minor for the class of GF(q)-representable matroids cannot contain a large projective geometry over GF(q) as a minor.
James F. Geelen, Bert Gerards, Geoff Whittle
LICS
2010
IEEE
13 years 8 months ago
Fixed-Point Definability and Polynomial Time on Graphs with Excluded Minors
We prove that fixed-point logic with counting captures polynomial time on all classes of graphs with excluded minors. That is, for every class C of graphs such that some graph H is...
Martin Grohe