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Efficient algorithms for combinatorial problems on graphs with bounded decomposability — A survey

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What this work says

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

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Series‐parallel reduction for difficult measures of network reliability
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Steiner trees, partial 2–trees, and minimum IFI networks
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Concurrent transmissions in broadcast networks
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On simple characterizations of k-trees
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Decomposition by clique separators
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An algorithm for finding clique cut-sets
inferredcites →https://doi.org/10.1016/0022-247x(65)90125-3openalex-snapshot
Topology of series-parallel networks
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Triangulated graphs and the elimination process
inferredcites →https://doi.org/10.1016/0166-218x(81)90013-5openalex-snapshot
Complement reducible graphs
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The NP-completeness column: An ongoing guide
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Equations and Rewrite Rules: A Survey
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Nonserial Dynamic Programming
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A polynomial algorithm for the MIN CUT linear arrangement of trees
inferredcites →https://doi.org/10.1109/tr.1978.5220267openalex-snapshot
Reduced State EnumerationߞAnother Algorithm for Reliability Evaluation
inferredcites →https://doi.org/10.1112/s0025579300008500openalex-snapshot
Properties and characterizations of k ‐trees
inferredcites →https://doi.org/10.1126/science.153.3731.34openalex-snapshot
Dynamic Programming
inferredcites →https://doi.org/10.1126/science.220.4598.671openalex-snapshot
Optimization by Simulated Annealing
inferredcites →https://doi.org/10.1137/0132031openalex-snapshot
Computing the Reliability of Complex Networks
inferredcites →https://doi.org/10.1137/0134037openalex-snapshot
Complexity Results for Bandwidth Minimization
inferredcites →https://doi.org/10.1137/0201013openalex-snapshot
Algorithms for Minimum Coloring, Maximum Clique, Minimum Covering by Cliques, and Maximum Independent Set of a Chordal Graph
inferredcites →https://doi.org/10.1137/0211004openalex-snapshot
Dynamic Programming is Optimal for Nonserial Optimization Problems
inferredcites →https://doi.org/10.1137/0602010openalex-snapshot
Computing the Minimum Fill-In is NP-Complete
inferredcites →https://doi.org/10.1145/321033.321034openalex-snapshot
A Computing Procedure for Quantification Theory
inferredcites →https://doi.org/10.1145/322326.322328openalex-snapshot
Linear-time computability of combinatorial problems on series-parallel graphs
inferredcites →https://doi.org/10.1145/359642.359654openalex-snapshot
Synthesizing constraint expressions
inferredcites →https://doi.org/10.2307/3007942openalex-snapshot
Nonserial Dynamic Programming

What points at this work

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

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Polynomial algorithms for graph isomorphism and chromatic index on partial k-trees
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Fast Fixed-Parameter Tractable Algorithms for Nontrivial Generalizations of Vertex Cover
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Separators Are as Simple as Cutsets
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The Longest Common Subsequence Problem for Sequences with Nested Arc Annotations
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NC-algorithms for graphs with small treewidth
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Parallel complexity of lexicographically first problems for tree-structured graphs
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Improved self-reduction algorithms for graphs with bounded treewidth
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Improved self-reduction algorithms for graphs with bounded treewidth
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Regularity and locality in k-terminal graphs
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Algebraic approach to fasciagraphs and rotagraphs
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Triangulating graphs without asteroidal triples
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Polynomial algorithms for graph isomorphism and chromatic index on partial k-trees
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Easy problems for tree-decomposable graphs
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Controlled generation of hard and easy Bayesian networks: Impact on maximal clique size in tree clustering
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AND/OR search spaces for graphical models
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A logical approach to efficient Max-SAT solving
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Bounded treewidth as a key to tractability of knowledge representation and reasoning
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Construction of FANETs for user coverage and information transmission in disaster rescue scenarios
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Header-size lower bounds for end-to-end communication in memoryless networks
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DAG-based attack and defense modeling: Don’t miss the forest for the attack trees
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Practical algorithms for MSO model-checking on tree-decomposable graphs
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Fast fixed-parameter tractable algorithms for nontrivial generalizations of vertex cover
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On the max min vertex cover problem
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A polynomial time algorithm to compute the connected treewidth of a series–parallel graph
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Discrete isoperimetric method for bandwidth, pathwidth and treewidth of hypercubes
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Tree-decompositions with bags of small diameter
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Locating a robber with multiple probes
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On the generalised colouring numbers of graphs that exclude a fixed minor
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On the Tree-Width of Planar Graphs
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Treewidth computations I. Upper bounds
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Treewidth computations II. Lower bounds
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Approximation algorithms for optimization problems in graphs with superlogarithmic treewidth
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On problems without polynomial kernels
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Upper and lower bounds for finding connected motifs in vertex-colored graphs
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Girth and treewidth
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Boxicity and treewidth
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The k-path coloring problem in graphs of bounded treewidth: An application in integrated circuit manufacturing
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Degree-constrained decompositions of graphs: Bounded treewidth and planarity
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Approximating the maximum clique minor and some subgraph homeomorphism problems
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On switching classes, NLC-width, cliquewidth and treewidth
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On permuted super-secondary structures of transmembrane β -barrel proteins
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How to compute digraph width measures on directed co-graphs
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Topological parameters for time-space tradeoff
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A sufficiently fast algorithm for finding close to optimal clique trees
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Backjump-based backtracking for constraint satisfaction problems
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Bucket elimination: A unifying framework for reasoning
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An algorithm for the Tutte polynomials of graphs of bounded treewidth
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A spectral lower bound for the treewidth of a graph and its consequences
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The longest common subsequence problem for sequences with nested arc annotations
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Splitting a graph into disjoint induced paths or cycles
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Treewidth for graphs with small chordality
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Triangulating multitolerance graphs
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Triangulating graphs with few P4's
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Bibliography on Domination in Graphs and Some Basic Definitions of Domination Parameters
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Counting H-colorings of partial k-trees
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Fugitive-search games on graphs and related parameters
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A partial k-arboretum of graphs with bounded treewidth
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Efficient enumeration of all minimal separators in a graph
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Local and global relational consistency
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Shortest paths in digraphs of small treewidth. Part II: Optimal parallel algorithms
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Generating irregular partitionable data structures
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The hardness of perfect phylogeny, feasible register assignment and other problems on thin colored graphs
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Fast approximation schemes for K3, 3-minor-free or K5-minor-free graphs
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Tractable Structures for Constraint Satisfaction Problems
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