Efficient algorithms for combinatorial problems on graphs with bounded, decomposability—a survey
BIT - Ellis Horwood series in artificial intelligence
Graph minors. V. Excluding a planar graph
Journal of Combinatorial Theory Series B
Graph minors. VI. Disjoint paths across a disc
Journal of Combinatorial Theory Series B
Characterization and recognition of partial 3-trees
SIAM Journal on Algebraic and Discrete Methods
Linear-time computation of optimal subgraphs of decomposable graphs
Journal of Algorithms
Complexity of finding embeddings in a k-tree
SIAM Journal on Algebraic and Discrete Methods
Nonconstructive advances in polynomial-time complexity
Information Processing Letters
Nonconstructive tools for proving polynomial-time decidability
Journal of the ACM (JACM)
Graph minors. VII. Disjoint paths on a surface
Journal of Combinatorial Theory Series B
Linear time algorithms for NP-hard problems restricted to partial k-trees
Discrete Applied Mathematics
On search decision and the efficiency of polynomial-time algorithms
STOC '89 Proceedings of the twenty-first annual ACM symposium on Theory of computing
Graph minors. IX. Disjoint crossed paths
Journal of Combinatorial Theory Series B
Graph minors. IV. Tree-width and well-quasi-ordering
Journal of Combinatorial Theory Series B
Graph minors. VIII. A Kuratowski theorem for general surfaces
Journal of Combinatorial Theory Series B
The monadic second-order logic of graphs. I. recognizable sets of finite graphs
Information and Computation
Polynomial algorithms for graph isomorphism and chromatic index on partial k-trees
Journal of Algorithms
MFCS '89 Selected papers of the symposium on Mathematical foundations of computer science
Easy problems for tree-decomposable graphs
Journal of Algorithms
Algorithms finding tree-decompositions of graphs
Journal of Algorithms
Graph minors: X. obstructions to tree-decomposition
Journal of Combinatorial Theory Series B
Journal of Combinatorial Theory Series B
Finding approximate separators and computing tree width quickly
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
On well-partial-order theory and its application to combinatorial problems of VLSI design
SIAM Journal on Discrete Mathematics
The vertex separation number of a graph equals its path-width
Information Processing Letters
The pathwidth and treewidth of cographs
SIAM Journal on Discrete Mathematics
Monadic second-order evaluations on tree-decomposable graphs
Theoretical Computer Science - Special issue on selected papers of the International Workshop on Computing by Graph Transformation, Bordeaux, France, March 21–23, 1991
An algebraic theory of graph reduction
Journal of the ACM (JACM)
Approximating treewidth, pathwidth, frontsize, and shortest elimination tree
Journal of Algorithms
Parametric problems on graphs of bounded tree-width
Journal of Algorithms
Graph minors. XI.: circuits on a surface
Journal of Combinatorial Theory Series B
Improved self-reduction algorithms for graphs with bounded treewidth
Discrete Applied Mathematics - Special issue: efficient algorithms and partial k-trees
Quickly excluding a planar graph
Journal of Combinatorial Theory Series B
Regular Article: On search, decision, and the efficiency of polynomial-time algorithms
Proceedings of the 30th IEEE symposium on Foundations of computer science
Graph minors. XIII: the disjoint paths problem
Journal of Combinatorial Theory Series B
Graph minors XIV: extending an embedding
Journal of Combinatorial Theory Series B
Graph minors. XII: distance on a surface
Journal of Combinatorial Theory Series B
Efficient parallel algorithms for graphs of bounded tree-width
Journal of Algorithms
Efficient and constructive algorithms for the pathwidth and treewidth of graphs
Journal of Algorithms
On Linear Recognition of Tree-Width at Most Four
SIAM Journal on Discrete Mathematics
The complexity of subgraph isomorphism for classes of partial k-trees
Theoretical Computer Science
Journal of Combinatorial Theory Series B
A Linear-Time Algorithm for Finding Tree-Decompositions of Small Treewidth
SIAM Journal on Computing
Shortest paths in digraphs of small treewidth. Part II: optimal parallel algorithms
ESA '95 Selected papers from the third European symposium on Algorithms
Parallel Algorithms with Optimal Speedup for Bounded Treewidth
SIAM Journal on Computing
A partial k-arboretum of graphs with bounded treewidth
Theoretical Computer Science
An algorithm for the Tutte polynomials of graphs of bounded treewidth
Discrete Mathematics
Characterizing multiterminal flow networks and computing flows in networks of small treewidth
Journal of Computer and System Sciences - Fourteenth ACM SIGACT-SIGMOD-SIGART symposium on principles of database systems
Highly connected sets and the excluded grid theorem
Journal of Combinatorial Theory Series B
On computing graph minor obstruction sets
Theoretical Computer Science
Journal of Combinatorial Theory Series B
Theoretical Computer Science
A comparison of structural CSP decomposition methods
Artificial Intelligence
Journal of Computer and System Sciences - Special issue on the fourteenth annual IEE conference on computational complexity
Algorithms for generalized vertex-rankings of partial k-trees
Theoretical Computer Science - computing and combinatorics
Reduction algorithms for graphs of small treewidth
Information and Computation
Introduction to algorithms
Listing all potential maximal cliques of a graph
Theoretical Computer Science
Counting H-colorings of partial k-trees
Theoretical Computer Science
Treewidth and Minimum Fill-in: Grouping the Minimal Separators
SIAM Journal on Computing
Algorithms for Vertex Partitioning Problems on Partial k-Trees
SIAM Journal on Discrete Mathematics
Treewidth: Algorithmoc Techniques and Results
MFCS '97 Proceedings of the 22nd International Symposium on Mathematical Foundations of Computer Science
Finding Minimal Forbidden Minors Using a Finite Congruence
ICALP '91 Proceedings of the 18th International Colloquium on Automata, Languages and Programming
Dynamic Algorithms for Graphs of Bounded Treewidth
ICALP '97 Proceedings of the 24th International Colloquium on Automata, Languages and Programming
Recognizability Equals Definability for Partial k-Paths
ICALP '97 Proceedings of the 24th International Colloquium on Automata, Languages and Programming
The Treewidth of Java Programs
ALENEX '02 Revised Papers from the 4th International Workshop on Algorithm Engineering and Experiments
Constraint Satisfaction, Bounded Treewidth, and Finite-Variable Logics
CP '02 Proceedings of the 8th International Conference on Principles and Practice of Constraint Programming
Fast Self-Reduction Algorithms for Combinatorical Problems of VLSI-Design
AWOC '88 Proceedings of the 3rd Aegean Workshop on Computing: VLSI Algorithms and Architectures
Recognizability Equals Monadic Second-Order Definability for Sets of Graphs of Bounded Tree-Width
STACS '98 Proceedings of the 15th Annual Symposium on Theoretical Aspects of Computer Science
Linear algorithms on k-terminal graphs
Linear algorithms on k-terminal graphs
Graph minors. XVI. excluding a non-planar graph
Journal of Combinatorial Theory Series B
Graph minors. XVIII. tree-decompositions and well-quasi-ordering
Journal of Combinatorial Theory Series B
Graph Minors. XIX. Well-quasi-ordering on a surface
Journal of Combinatorial Theory Series B
Algorithm Design
Graph Minors. XX. Wagner's conjecture
Journal of Combinatorial Theory Series B - Special issue dedicated to professor W. T. Tutte
Faster placement of hydrogens in protein structures by dynamic programming
Journal of Experimental Algorithmics (JEA)
Safe Reduction Rules for Weighted Treewidth
Algorithmica
New upper bounds on the decomposability of planar graphs
Journal of Graph Theory
An analogue of the Myhill-Nerode theorem and its use in computing finite-basis characterizations
SFCS '89 Proceedings of the 30th Annual Symposium on Foundations of Computer Science
Improved Approximation Algorithms for Minimum Weight Vertex Separators
SIAM Journal on Computing
Solving problems on recursively constructed graphs
ACM Computing Surveys (CSUR)
Derivation of algorithms for cutwidth and related graph layout parameters
Journal of Computer and System Sciences
Graph minors. XXI. Graphs with unique linkages
Journal of Combinatorial Theory Series B
On problems without polynomial kernels
Journal of Computer and System Sciences
A Bound on the Pathwidth of Sparse Graphs with Applications to Exact Algorithms
SIAM Journal on Discrete Mathematics
Coloured Tutte polynomials and Kauffman brackets for graphs of bounded tree width
Discrete Applied Mathematics - Structural decompositions, width parameters, and graph labelings (DAS 5)
Cutwidth I: A linear time fixed parameter algorithm
Journal of Algorithms
Cutwidth II: Algorithms for partial w-trees of bounded degree
Journal of Algorithms
Approximation Algorithms for Treewidth
Algorithmica
Treewidth computations I. Upper bounds
Information and Computation
FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
Graph minors XXIII. Nash-Williams' immersion conjecture
Journal of Combinatorial Theory Series B
On parse trees and Myhill-Nerode-type tools for handling graphs of bounded rank-width
Discrete Applied Mathematics
Dynamic programming and planarity: Improved tree-decomposition based algorithms
Discrete Applied Mathematics
Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs
Journal of Discrete Algorithms
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
Faster algorithms on branch and clique decompositions
MFCS'10 Proceedings of the 35th international conference on Mathematical foundations of computer science
Logspace Versions of the Theorems of Bodlaender and Courcelle
FOCS '10 Proceedings of the 2010 IEEE 51st Annual Symposium on Foundations of Computer Science
On the complexity of some colorful problems parameterized by treewidth
Information and Computation
Treewidth computations II. Lower bounds
Information and Computation
An experimental evaluation of treewidth at most four reductions
SEA'11 Proceedings of the 10th international conference on Experimental algorithms
Preprocessing for treewidth: a combinatorial analysis through kernelization
ICALP'11 Proceedings of the 38th international colloquim conference on Automata, languages and programming - Volume Part I
Solving Connectivity Problems Parameterized by Treewidth in Single Exponential Time
FOCS '11 Proceedings of the 2011 IEEE 52nd Annual Symposium on Foundations of 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
Known algorithms on graphs of bounded treewidth are probably optimal
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
On moderately exponential time for SAT
SAT'10 Proceedings of the 13th international conference on Theory and Applications of Satisfiability Testing
A basic parameterized complexity primer
The Multivariate Algorithmic Revolution and Beyond
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In this survey, a number of results on the fixed-parameter tractability of treewidth and pathwidth are discussed. Some emphasis is placed on older results, and proofs that show that treewidth and pathwidth are fixed-parameter tractable. Also, a linear-time algorithm for testing if a graph has pathwidth at most some given constant is discussed in more detail.