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Journal of Combinatorial Theory Series B
Nonconstructive tools for proving polynomial-time decidability
Journal of the ACM (JACM)
Approximation algorithms for NP-complete problems on planar graphs
Journal of the ACM (JACM)
Quickly excluding a planar graph
Journal of Combinatorial Theory Series B
Graph minors. XII: distance on a surface
Journal of Combinatorial Theory Series B
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Journal of Combinatorial Theory Series B
Subgraph isomorphism in planar graphs and related problems
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A polynomial-time approximation scheme for weighted planar graph TSP
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Journal of the ACM (JACM)
Journal of the ACM (JACM)
An 8-Approximation Algorithm for the Subset Feedback Vertex Set Problem
SIAM Journal on Computing
Dominating sets in planar graphs: branch-width and exponential speed-up
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
Refined Search Tree Technique for DOMINATING SET on Planar Graphs
MFCS '01 Proceedings of the 26th International Symposium on Mathematical Foundations of Computer Science
Improved Parameterized Algorithms for Planar Dominating Set
MFCS '02 Proceedings of the 27th International Symposium on Mathematical Foundations of Computer Science
Subgraph Isomorphism, log-Bounded Fragmentation and Graphs of (Locally) Bounded Treewidth
MFCS '02 Proceedings of the 27th International Symposium on Mathematical Foundations of Computer Science
WG '01 Proceedings of the 27th International Workshop on Graph-Theoretic Concepts in Computer Science
WG '02 Revised Papers from the 28th International Workshop on Graph-Theoretic Concepts in Computer Science
Exponential Speedup of Fixed-Parameter Algorithms on K3, 3-Minor-Free or K5-Minor-Free Graphs
ISAAC '02 Proceedings of the 13th International Symposium on Algorithms and Computation
FOCS '98 Proceedings of the 39th Annual Symposium on Foundations of Computer Science
Graph minors. XVI. excluding a non-planar graph
Journal of Combinatorial Theory Series B
Graph separators: a parameterized view
Journal of Computer and System Sciences - Special issue on Parameterized computation and complexity
Subexponential parameterized algorithms on graphs of bounded-genus and H-minor-free graphs
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Equivalence of local treewidth and linear local treewidth and its algorithmic applications
SODA '04 Proceedings of the fifteenth annual ACM-SIAM symposium on Discrete algorithms
Parameterized complexity: exponential speed-up for planar graph problems
Journal of Algorithms
Approximation algorithms for classes of graphs excluding single-crossing graphs as minors
Journal of Computer and System Sciences
Graph Minors. XX. Wagner's conjecture
Journal of Combinatorial Theory Series B - Special issue dedicated to professor W. T. Tutte
Bidimensionality: new connections between FPT algorithms and PTASs
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Fixed-parameter algorithms for the (k, r)-center in planar graphs and map graphs
ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
Bidimensionality: new connections between FPT algorithms and PTASs
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
A nearly linear time algorithm for the half integral disjoint paths packing
Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms
A PTAS for the Sparsest Spanners Problem on Apex-Minor-Free Graphs
MFCS '08 Proceedings of the 33rd international symposium on Mathematical Foundations of Computer Science
The edge disjoint paths problem in Eulerian graphs and 4-edge-connected graphs
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
A simpler algorithm and shorter proof for the graph minor decomposition
Proceedings of the forty-third annual ACM symposium on Theory of computing
Slightly superexponential parameterized problems
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
Algorithmic graph minor theory: improved grid minor bounds and wagner's contraction
ISAAC'06 Proceedings of the 17th international conference on Algorithms and Computation
Exact algorithms for the Hamiltonian cycle problem in planar graphs
Operations Research Letters
Minimum weight 2-edge-connected spanning subgraphs in planar graphs
ICALP'07 Proceedings of the 34th international conference on Automata, Languages and Programming
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This paper surveys the theory of bidimensional graph problems. We summarize the known combinatorial and algorithmic results of this theory, the foundational Graph Minor results on which this theory is based, and the remaining open problems.