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The Pathwidth and Treewidth of Cographs

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/3-540-19488-6_110openalex-snapshot
Dynamic programming on graphs with bounded treewidth
inferredcites →https://doi.org/10.1007/3-540-54233-7_162openalex-snapshot
Better algorithms for the pathwidth and treewidth of graphs
inferredcites →https://doi.org/10.1007/978-3-7091-9076-0_2openalex-snapshot
Graph Problems Related to Gate Matrix Layout and PLA Folding
inferredcites →https://doi.org/10.1007/bf01934985openalex-snapshot
Efficient algorithms for combinatorial problems on graphs with bounded decomposability — A survey
inferredcites →https://doi.org/10.1016/0012-365x(85)90046-9openalex-snapshot
Interval graphs and seatching
inferredcites →https://doi.org/10.1016/0095-8956(83)90079-5openalex-snapshot
Graph minors. I. Excluding a forest
inferredcites →https://doi.org/10.1016/0166-218x(81)90013-5openalex-snapshot
Complement reducible graphs
inferredcites →https://doi.org/10.1016/0166-218x(89)90031-0openalex-snapshot
Linear time algorithms for NP-hard problems restricted to partial k-trees
inferredcites →https://doi.org/10.1016/0196-6774(86)90023-4openalex-snapshot
Graph minors. II. Algorithmic aspects of tree-width
inferredcites →https://doi.org/10.1016/0304-3975(86)90146-5openalex-snapshot
Searching and pebbling
inferredcites →https://doi.org/10.1016/0771-050x(80)90036-4openalex-snapshot
Algorithmic graph theory and perfect graphs
inferredcites →https://doi.org/10.1017/cbo9781107325678.009openalex-snapshot
Graph minors – a survey
inferredcites →https://doi.org/10.1137/0214065openalex-snapshot
A Linear Recognition Algorithm for Cographs
inferredcites →https://doi.org/10.1137/0608024openalex-snapshot
Complexity of Finding Embeddings in a k -Tree
inferredcites →https://doi.org/10.1145/44483.44491openalex-snapshot
Nonconstructive tools for proving polynomial-time decidability
inferredcites →https://doi.org/10.1145/58562.59300openalex-snapshot
Incremental modular decomposition
inferredcites →https://doi.org/10.7551/mitpress/1102.003.0025openalex-snapshot
Layout Permutation Problems and Well-Partially-Ordered Sets

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Parameterized Problems Complete for Nondeterministic Fpt Time and Logarithmic Space
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On Interval Routing Schemes and Treewidth
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Efficient and Constructive Algorithms for the Pathwidth and Treewidth of Graphs
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Domino Treewidth
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Finite Languages for the Representation of Finite Graphs
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Computing Treewidth and Minimum Fill-In for Permutation Graphs in Linear Time
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Graph Searching and Search Time
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Treewidth: Characterizations, Applications, and Computations
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Exponential Speedup of Fixed-Parameter Algorithms on K 3,3-Minor-Free or K 5-Minor-Free Graphs
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Safe Reduction Rules for Weighted Treewidth
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New Lower and Upper Bounds for Graph Treewidth
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Computing Optimal Linear Layouts of Trees in Linear Time
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Tree Decompositions with Small Cost
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Computing the Treewidth and the Minimum Fill-in with the Modular Decomposition
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1.5-Approximation for Treewidth of Graphs Excluding a Graph with One Crossing as a Minor
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Efficient Analy sis of Graphs with Small Minimal Separators
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Two strikes against perfect phylogeny
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Treewidth and pathwidth of permutation graphs
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Computing treewidth and minimum fill-in: All you need are the minimal separators
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Tree-width and path-width of comparability graphs of interval orders
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Fugitive-search games on graphs and related parameters
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How to use the minimal separators of a graph for its chordal triangulation
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On Interval Routing Schemes and treewidth
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A Linear-Time Algorithm for Constructing an Optimal Node-Search Strategy of a Tree
inferred← citeshttps://doi.org/10.1007/978-1-4939-2864-4_529openalex-snapshot
Kernelization, Preprocessing for Treewidth
inferred← citeshttps://doi.org/10.1007/978-3-030-11072-7_19openalex-snapshot
Network Decontamination
inferred← citeshttps://doi.org/10.1007/978-3-030-25027-0_20openalex-snapshot
Computing Digraph Width Measures on Directed Co-graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-36412-0_20openalex-snapshot
Characterizations for Special Directed Co-graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-42071-0openalex-snapshot
Treewidth, Kernels, and Algorithms
inferred← citeshttps://doi.org/10.1007/978-3-030-42071-0_6openalex-snapshot
As Time Goes By: Reflections on Treewidth for Temporal Graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-58475-7_17openalex-snapshot
Breaking Symmetries with RootClique and LexTopSort
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Computing Subset Transversals in H-Free Graphs
inferred← citeshttps://doi.org/10.1007/978-3-030-83508-8_17openalex-snapshot
Computing Weighted Subset Transversals in H-Free Graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-18173-8_14openalex-snapshot
Contraction Blockers for Graphs with Forbidden Induced Paths
inferred← citeshttps://doi.org/10.1007/978-3-319-47054-2_44openalex-snapshot
Integer Linear Programming Formulation and Exact Algorithm for Computing Pathwidth
inferred← citeshttps://doi.org/10.1007/978-3-319-94776-1_22openalex-snapshot
Directed Path-Width and Directed Tree-Width of Directed Co-graphs
inferred← citeshttps://doi.org/10.1007/978-3-319-98334-9_8openalex-snapshot
An SMT Approach to Fractional Hypertree Width
inferred← citeshttps://doi.org/10.1007/978-3-540-30577-4_1openalex-snapshot
Discovering Treewidth
inferred← citeshttps://doi.org/10.1007/978-3-540-72504-6_22openalex-snapshot
On the Treewidth and Pathwidth of Biconvex Bipartite Graphs
inferred← citeshttps://doi.org/10.1007/978-3-540-74839-7_10openalex-snapshot
A Characterisation of the Minimal Triangulations of Permutation Graphs
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How to Use Planarity Efficiently: New Tree-Decomposition Based Algorithms
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Inference and Learning in Multi-dimensional Bayesian Network Classifiers
inferred← citeshttps://doi.org/10.1007/978-3-642-04500-4_10openalex-snapshot
Baumweitebeschränkte Graphen
inferred← citeshttps://doi.org/10.1007/978-3-642-22006-7_37openalex-snapshot
Preprocessing for Treewidth: A Combinatorial Analysis through Kernelization
inferred← citeshttps://doi.org/10.1007/978-3-642-30891-8_12openalex-snapshot
Fixed-Parameter Tractability of Treewidth and Pathwidth
inferred← citeshttps://doi.org/10.1007/978-3-642-31155-0_31openalex-snapshot
Kernel Bounds for Structural Parameterizations of Pathwidth
inferred← citeshttps://doi.org/10.1007/978-3-642-33293-7_18openalex-snapshot
Computing Directed Pathwidth in O(1.89 n ) Time
inferred← citeshttps://doi.org/10.1007/978-3-642-33475-7_4openalex-snapshot
Probabilistic Inference and Monadic Second Order Logic
inferred← citeshttps://doi.org/10.1007/bf01462229openalex-snapshot
Treewidth of cocomparability graphs and a new order-theoretic parameter
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Graph searching on chordal graphs
inferred← citeshttps://doi.org/10.1007/bfb0024492openalex-snapshot
Algorithms for the treewidth and minimum fill-in of HHD-free graphs
inferred← citeshttps://doi.org/10.1007/bfb0029946openalex-snapshot
Treewidth: Algorithmic techniques and results
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Edge and node searching problems on trees
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Representing hyper-graphs by regular languages
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On Oblivious Branching Programs with Bounded Repetition that Cannot Efficiently Compute CNFs of Bounded Treewidth
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Computing the Treewidth and the Minimum Fill-In with the Modular Decomposition
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Exponential Speedup of Fixed-Parameter Algorithms for Classes of Graphs Excluding Single-Crossing Graphs as Minors
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Safe Reduction Rules for Weighted Treewidth
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k-Chordal Graphs: From Cops and Robber to Compact Routing via Treewidth
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Computing Directed Pathwidth in $$O(1.89^{n})$$ O ( 1 . 89 n ) Time
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Graph Searching on Some Subclasses of Chordal Graphs
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On characterizations for subclasses of directed co-graphs
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Triangulating graphs without asteroidal triples
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Tree decompositions with small cost
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Tree-decompositions of small pathwidth
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Chordal co-gem-free and ( P5 ,gem)-free graphs have bounded clique-width
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Efficient parallel recognition of cographs
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Node-searching problem on block graphs
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Dynamic programming and planarity: Improved tree-decomposition based algorithms
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Acyclic and star colorings of cographs
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Edge search number of cographs
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Comparing the metric and strong dimensions of graphs
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From modular decomposition trees to level-1 networks: Pseudo-cographs, polar-cats and prime polar-cats
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A vertex incremental approach for maintaining chordality
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Linear layouts measuring neighbourhoods in graphs
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Two characterisations of minimal triangulations of 2K2 -free graphs
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Two characterisations of the minimal triangulations of permutation graphs
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On the spectrum and number of convex sets in graphs
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Neighbourhood-width of trees
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Principled deep neural network training through linear programming
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Treewidth computations I. Upper bounds
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Exclusive graph searching vs. pathwidth
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Parameterized problems complete for nondeterministic FPT time and logarithmic space
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Approximation algorithms for classes of graphs excluding single-crossing graphs as minors
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The complexity of minimum-length path decompositions
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Parameterized complexity dichotomy for Steiner Multicut
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Treewidth versus clique number. II. Tree-independence number
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Parallel algorithms for Hamiltonian problems on quasi-threshold graphs
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Approximating the maximum clique minor and some subgraph homeomorphism problems
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Treewidth and minimum fill-in on permutation graphs in linear time
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A revisit of the scheme for computing treewidth and minimum fill-in
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Contraction and deletion blockers for perfect graphs and H-free graphs
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How to compute digraph width measures on directed co-graphs
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Computing subset transversals in H-free graphs
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Covering and partitioning of split, chain and cographs with isometric paths
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On intervalizing k-colored graphs for DNA physical mapping
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Treewidth for graphs with small chordality
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Characterizations and algorithmic applications of chordal graph embeddings
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Triangulating multitolerance graphs
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An optimal parallel algorithm for node ranking of cographs
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Partial and perfect path covers of cographs
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Triangulating graphs with few P4's
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Construction of linear tree-layouts which are optimal with respect to vertex separation in linear time
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A partial k-arboretum of graphs with bounded treewidth
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The hardness of perfect phylogeny, feasible register assignment and other problems on thin colored graphs
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Edge and node searching problems on trees
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Quickly Excluding K2,r from Planar Graphs
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Necessary Edges in k-Chordalisations of Graphs
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Automata-based Representations for Infinite Graphs
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Linear-time algorithm for the matched-domination problem in cographs
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Tree decompositions and social graphs
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The Bidimensionality Theory and Its Algorithmic Applications
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Combinatorial Optimization on Graphs of Bounded Treewidth
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A quality and distance guided metaheuristic algorithm for vertex separation problem
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Parameterized Problems Complete for Nondeterministic FPT time and Logarithmic Space
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2020 Proceedings of the Twenty-Second Workshop on Algorithm Engineering and Experiments (ALENEX)
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Preprocessing for Treewidth: A Combinatorial Analysis through Kernelization
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A Framework for Exponential-Time-Hypothesis--Tight Algorithms and Lower Bounds in Geometric Intersection Graphs
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A Linear-Time Algorithm for Finding Tree-Decompositions of Small Treewidth
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Treewidth and Pathwidth of Permutation Graphs
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Graph Searching and Interval Completion
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Treewidth and Minimum Fill-in on d-Trapezoid Graphs
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Solving problems on recursively constructed graphs
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FPT is characterized by useful obstruction sets
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Experimental Evaluation of a Branch-and-Bound Algorithm for Computing Pathwidth and Directed Pathwidth
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A framework for ETH-tight algorithms and lower bounds in geometric intersection graphs
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A survey of graph layout problems
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Parameterized Algorithms
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Recursively Constructed Graphs
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Maps
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Pursuit-Evasion Problems
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Graph Representation
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Turbocharging Treewidth-Bounded Bayesian Network Structure Learning
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Learning Bayesian Networks in the Presence of Structural Side Information
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Intruder capture by mobile agents in mesh topologies
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On perfect and quasiperfect dominations in graphs
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Treewidth : structural properties and algorithmic insights
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A Linear-Time Algorithm for the Terminal Path Cover Problem in Trees
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The Behavior of Tree-Width and Path-Width Under Graph Operations and Graph Transformations
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Complement Reducible Uniform Hypergraphs
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The Treewidth of Induced Graphs of Conditional Preference Networks Is Small
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Clique Transversal Variants on Graphs: A Parameterized-Complexity Perspective
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Remarks on Parameterized Complexity of Variations of the Maximum-Clique Transversal Problem on Graphs
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Co-Degeneracy and Co-Treewidth: Using the Complement to Solve Dense Instances
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A comparison of two approaches for polynomial time algorithms computing basic graph parameters
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A Linear-Time Algorithm for the Maximum Matched-Paired-Domination Problem in Cographs
inferred← citeshttps://doi.org/10.48550/arxiv.1104.4217openalex-snapshot
Preprocessing for Treewidth: A Combinatorial Analysis through Kernelization
inferred← citeshttps://doi.org/10.48550/arxiv.1305.3102openalex-snapshot
FPT is Characterized by Useful Obstruction Sets
inferred← citeshttps://doi.org/10.48550/arxiv.1308.3829openalex-snapshot
On OBDDs for CNFs of bounded treewidth
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Parameterized Complexity Dichotomy for Steiner Multicut
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Bounding the search number of graph products
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Computing directed path-width and directed tree-width of recursively defined digraphs
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Virtual Network Embedding via Decomposable LP Formulations: Orientations of Small Extraction Width and Beyond
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The Algorithmic Complexity of Tree-Clique Width
inferred← citeshttps://doi.org/10.5402/2011/540834openalex-snapshot
Weighted Maximum-Clique Transversal Sets of Graphs
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