A linear time algorithm for finding tree-decompositions of small treewidth
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Summary
Every minor-closed class of graphs that does not contain all planar graphs has a linear-time recognition algorithm that determines whether the treewidth of G is at most at most some constant k and finds a tree-decomposition of G withtreewidth at most k.
- Type
- article
- Published
- 1993-06-01
- Cited by
- 1,855
- References
- 41
- Access
- Open access
- OpenAlex
- https://openalex.org/W2024291212
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:2028181
Keywords
Treewidth, Citation, Computer science, Tree (set theory), Time complexity
References
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- Nonconstructive tools for proving polynomial-time decidability
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- Nonconstructive Advances in Polynomial-Time Complexity
- Graph Minors .XIII. The Disjoint Paths Problem
- The Pathwidth and Treewidth of Cographs
- Monadic Second-Order Evaluations on Tree-Decomposable Graphs
- An algebraic theory of graph reduction
- The Monadic Second-Order Logic of Graphs. I. Recognizable Sets of Finite Graphs
- Graph Minors. II. Algorithmic Aspects of Tree-Width
- Efficient algorithms for combinatorial problems on graphs with bounded decomposability — A survey
- Graph minors. IV. Tree-width and well-quasi-ordering
- Graph minors. X. Obstructions to tree-decomposition
- Graph minors. V. Excluding a planar graph
- Easy Problems for Tree-Decomposable Graphs
- Complexity of finding embeddings in a k -tree
- An analogue of the Myhill-Nerode theorem and its use in computing finite-basis characterizations
- Algorithms Finding Tree-Decompositions of Graphs
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- The Feasibility and Use of a Minor Containment Algorithm
- Augmenting Outerplanar Graphs to Meet Diameter Requirements
- Quantified Constraint Satisfaction and Bounded Treewidth
- Algorithmique de l'alignement structure-séquence d'ARN : une approche générale et paramétrée. (RNA structure-sequence alignment algorithmic : a general and parameterized approach)
- Methods for Interactive Constraint Satisfaction
- Topics in Graph Algorithms: Structural Results and Algorithmic Techniques, with Applications
- Efficient algorithms for network center/covering location optimization problems
- New Width Parameters of Graphs
- Constraint satisfaction, databases, and logic
- Computational Tractability: The View From Mars
- Compendium of Parameterized Problems
- Computational study on branch decomposition of planar graphs
- Optimal Time-Space Tradeoff in Probabilistic Inference
- A Model-Based Diagnosis Framework for Distributed Embedded Systems
- Automata-theoretic and datalog-based solutions of monadic second-order logic evaluation problems over structures of bounded-treewidth
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