Fixed-Parameter Tractability of Treewidth and Pathwidth (Q2908539)

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English	Fixed-Parameter Tractability of Treewidth and Pathwidth	scientific article

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scholarly article

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Fixed-Parameter Tractability of Treewidth and Pathwidth (English)

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The Multivariate Algorithmic Revolution and Beyond

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publication date

5 September 2012

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Hans L. Bodlaender

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describes a project that uses

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-3-642-30891-8_12

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Approximation algorithms for treewidth

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An algorithm for the Tutte polynomials of graphs of bounded treewidth

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Efficient algorithms for combinatorial problems on graphs with bounded decomposability - a survey

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Complexity of Finding Embeddings in a <i>k</i>-Tree

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An algebraic theory of graph reduction

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Easy problems for tree-decomposable graphs

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Characterization and Recognition of Partial 3-Trees

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Linear time algorithms for NP-hard problems restricted to partial k- trees

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Linear-time computation of optimal subgraphs of decomposable graphs

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Quickly excluding a forest

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Polynomial algorithms for graph isomorphism and chromatic index on partial k-trees

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Improved self-reduction algorithms for graphs with bounded treewidth

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A Linear-Time Algorithm for Finding Tree-Decompositions of Small Treewidth

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A partial k-arboretum of graphs with bounded treewidth

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On problems without polynomial kernels

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The hardness of perfect phylogeny, feasible register assignment and other problems on thin colored graphs

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Derivation of algorithms for cutwidth and related graph layout parameters

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(Meta) Kernelization

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Approximating Treewidth, Pathwidth, Frontsize, and Shortest Elimination Tree

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Parallel Algorithms with Optimal Speedup for Bounded Treewidth

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Preprocessing for Treewidth: A Combinatorial Analysis through Kernelization

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Efficient and Constructive Algorithms for the Pathwidth and Treewidth of Graphs

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Treewidth computations. I: Upper bounds

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Treewidth computations. II. Lower bounds

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The Pathwidth and Treewidth of Cographs

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Reduction algorithms for graphs of small treewidth

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Faster Algorithms on Branch and Clique Decompositions

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Generation of polynomial-time algorithms for some optimization problems on tree-decomposable graphs

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Automatic generation of linear-time algorithms from predicate calculus descriptions of problems on recursively constructed graph families

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Treewidth and Minimum Fill-in: Grouping the Minimal Separators

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Listing all potential maximal cliques of a graph

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Polynomial-time self-reducibility: theoretical motivations and practical results<sup>∗</sup>

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On computing graph minor obstruction sets

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Shortest paths in digraphs of small treewidth. II: Optimal parallel algorithms

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Shortest paths in digraphs of small treewidth. I: Sequential algorithms

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The monadic second-order logic of graphs. I: Recognizable sets of finite graphs

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The monadic second-order logic of graphs. V: On closing the gap between definability and recognizability

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Linear time solvable optimization problems on graphs of bounded clique-width

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Monadic second-order evaluations on tree-decomposable graphs

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Solving Connectivity Problems Parameterized by Treewidth in Single Exponential Time

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On Moderately Exponential Time for SAT

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Counting \(H-\)colorings of partial \(k-\)trees

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Highly connected sets and the excluded grid theorem

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Dynamic programming and planarity: improved tree-decomposition based algorithms

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Efficient exact algorithms on planar graphs: Exploiting sphere cut decompositions

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New Limits to Classical and Quantum Instance Compression

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Safe reduction rules for weighted treewidth

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The vertex separation and search number of a graph

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Improved Approximation Algorithms for Minimum Weight Vertex Separators

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On the complexity of some colorful problems parameterized by treewidth

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Nonconstructive advances in polynomial-time complexity

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Nonconstructive tools for proving polynomial-time decidability

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On Well-Partial-Order Theory and Its Application to Combinatorial Problems of VLSI Design

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On search, decision, and the efficiency of polynomial-time algorithms

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Parametric Problems on Graphs of Bounded Tree-Width

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On two techniques of combining branching and treewidth

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Bidimensionality and Geometric Graphs

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New upper bounds on the decomposability of planar graphs

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On parse trees and Myhill-Nerode-type tools for handling graphs of bounded rank-width

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A comparison of structural CSP decomposition methods

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The complexity of subgraph isomorphism for classes of partial k-trees

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Dynamic algorithms for graphs of bounded treewidth

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Characterizing multiterminal flow networks and computing flows in networks of small treewidth

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On the complexity of \(k\)-SAT

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A POLYNOMIAL-TIME ALGORITHM FOR FINDING TOTAL COLORINGS OF PARTIAL k-TREES

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Recognizability equals definability for partial k-paths

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Definability equals recognizability of partial 3-trees and \(k\)-connected partial \(k\)-trees

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Algorithms for generalized vertex-rankings of partial k-trees

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The vertex separation number of a graph equals its path-width

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Treewidth. Computations and approximations

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Courcelle's theorem -- a game-theoretic approach

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A Bound on the Pathwidth of Sparse Graphs with Applications to Exact Algorithms

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Solving partial constraint satisfaction problems with tree decomposition

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Planar feedback vertex set and face cover: combinatorial bounds and subexponential algorithms

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Efficient Parallel Algorithms for Graphs of Bounded Tree-Width

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Black-white pebbles and graph separation

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A Separator Theorem for Planar Graphs

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Applications of a Planar Separator Theorem

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Coloured Tutte polynomials and Kauffman brackets for graphs of bounded tree width

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Resilience of partialk-tree networks with edge and node failures

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Algorithms finding tree-decompositions of graphs

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Channel assignment on graphs of bounded treewidth

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Graph minors. I. Excluding a forest

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Graph minors. III. Planar tree-width

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Graph minors. II. Algorithmic aspects of tree-width

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Graph minors. V. Excluding a planar graph

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Graph minors. VI. Disjoint paths across a disc

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Graph minors. VII: Disjoint paths on a surface

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Graph minors. IV: Tree-width and well-quasi-ordering

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Graph minors. IX: Disjoint crossed paths

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Graph minors. VIII: A Kuratowski theorem for general surfaces

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Graph minors. X: Obstructions to tree-decomposition

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Graph minors. XXII. Irrelevant vertices in linkage problems

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Graph minors. XI: Circuits on a surface

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Graph minors. XII: Distance on a surface

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Graph minors. XIII: The disjoint paths problem

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Graph minors. XIV: Extending an embedding

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Graph minors. XV: Giant steps

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Graph minors. XVII: Taming a vortex

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Graph minors. XVI: Excluding a non-planar graph

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Graph minors. XVIII: Tree-decompositions and well-quasi-ordering

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Graph minors. XIX: Well-quasi-ordering on a surface.

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Graph minors. XX: Wagner's conjecture

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Graph minors. XXI. graphs with unique linkages

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Graph minors XXIII. Nash-Williams' immersion conjecture

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Quickly excluding a planar graph

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On Linear Recognition of Tree-Width at Most Four

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Subexponential parameterized algorithms for degree-constrained subgraph problems on planar graphs

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Call routing and the ratcatcher

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Algorithms for Vertex Partitioning Problems on Partial k-Trees

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Cutwidth I: A linear time fixed parameter algorithm

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Cutwidth II: Algorithms for partial w-trees of bounded degree

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Dynamic Programming on Tree Decompositions Using Generalised Fast Subset Convolution

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A linear algorithm for finding \([g,f]\)-colorings of partial \(k\)-trees

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Identifiers

zbMATH Open document ID

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10.1007/978-3-642-30891-8_12

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Mathematics Subject Classification ID

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zbMATH DE Number

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DBLP publication ID

conf/birthday/Bodlaender12

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Sitelinks

Mathematics(1 entry)

mardi Publication:2908539

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