Graph minors. V. Excluding a planar graph
Journal of Combinatorial Theory Series B
Graph minors: X. obstructions to tree-decomposition
Journal of Combinatorial Theory Series B
Quickly excluding a planar graph
Journal of Combinatorial Theory Series B
A simpler proof of the excluded minor theorem for higher surfaces
Journal of Combinatorial Theory Series B
Highly connected sets and the excluded grid theorem
Journal of Combinatorial Theory Series B
Graph minors. XVI. excluding a non-planar graph
Journal of Combinatorial Theory Series B
European Journal of Combinatorics - Special issue: Topological graph theory
Bidimensional Parameters and Local Treewidth
SIAM Journal on Discrete Mathematics
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Algorithmic Graph Minor Theory: Decomposition, Approximation, and Coloring
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Subexponential parameterized algorithms on bounded-genus graphs and H-minor-free graphs
Journal of the ACM (JACM)
The Bidimensional Theory of Bounded-Genus Graphs
SIAM Journal on Discrete Mathematics
Improved Approximation Algorithms for Minimum Weight Vertex Separators
SIAM Journal on Computing
FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
Approximation algorithms for domination search
WAOA'10 Proceedings of the 8th international conference on Approximation and online algorithms
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
On graph contractions and induced minors
Discrete Applied Mathematics
The Bidimensionality Theory and Its Algorithmic Applications 1
The Computer Journal
Parameterizing cut sets in a graph by the number of their components
Theoretical Computer Science
Linear kernels for (connected) dominating set on H-minor-free graphs
Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete Algorithms
Graph minors and parameterized algorithm design
The Multivariate Algorithmic Revolution and Beyond
Beyond bidimensionality: Parameterized subexponential algorithms on directed graphs
Information and Computation
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We provide two parameterized graphs @C"k, @P"k with the following property: for every positive integer k, there is a constant c"k such that every graph G with treewidth at least c"k, contains one of K"k, @C"k, @P"k as a contraction, where K"k is a complete graph on k vertices. These three parameterized graphs can be seen as ''obstruction patterns'' for the treewidth with respect to the contraction partial ordering. We also present some refinements of this result along with their algorithmic consequences.