Treewidth: Algorithmic Techniques and Results
暂无分享,去创建一个
[1] Torben Hagerup. Dynamic Algorithms for Graphs of Bounded Treewidth , 1997, ICALP.
[2] Bruno Courcelle,et al. The monadic second-order logic of graphs III: tree-decompositions, minor and complexity issues , 1992, RAIRO Theor. Informatics Appl..
[3] Hans L. Bodlaender,et al. The hardness of problems on thin colored graphs , 1995 .
[4] Hans L. Bodlaender,et al. NC-Algorithms for Graphs with Small Treewidth , 1988, WG.
[5] Egon Wanke,et al. Bounded Tree-Width and LOGCFL , 1993, J. Algorithms.
[6] Robin Thomas,et al. Call routing and the ratcatcher , 1994, Comb..
[7] Derek G. Corneil,et al. Complexity of finding embeddings in a k -tree , 1987 .
[8] Detlef Seese,et al. Easy Problems for Tree-Decomposable Graphs , 1991, J. Algorithms.
[9] Paul D. Seymour,et al. Graph Minors .XIV. Extending an Embedding , 1995, J. Comb. Theory, Ser. B.
[10] Dimitrios M. Thilikos,et al. Constructive Linear Time Algorithms for Branchwidth , 1997, ICALP.
[11] S. Arnborg,et al. Characterization and recognition of partial 3-trees , 1986 .
[12] Siddharthan Ramachandramurthi,et al. The Structure and Number of Obstructions to Treewidth , 1997, SIAM J. Discret. Math..
[13] Haim Kaplan,et al. Pathwidth, Bandwidth, and Completion Problems to Proper Interval Graphs with Small Cliques , 1996, SIAM J. Comput..
[14] Michael R. Fellows,et al. Obstructions to Within a Few Vertices or Edges of Acyclic , 1995, WADS.
[15] J. Van Leeuwen,et al. Handbook of theoretical computer science - Part A: Algorithms and complexity; Part B: Formal models and semantics , 1990 .
[16] Neil Robertson,et al. Graph Minors .XIII. The Disjoint Paths Problem , 1995, J. Comb. Theory B.
[17] A. Satyanarayana,et al. A characterization of partial 3-trees , 1990, Networks.
[18] Zsolt Tuza,et al. Narrowness, pathwidth, and their application in natural language processing , 1992, Discret. Appl. Math..
[19] Paul D. Seymour,et al. Graph Minors .XII. Distance on a Surface , 1995, J. Comb. Theory, Ser. B.
[20] Michael R. Fellows,et al. Finite automata, bounded treewidth, and well-quasiordering , 1991, Graph Structure Theory.
[21] Bruno Courcelle,et al. Equivalent definitions of recognizability for sets of graphs of bounded tree-width , 1996, Mathematical Structures in Computer Science.
[22] Stefan Arnborg,et al. Linear time algorithms for NP-hard problems restricted to partial k-trees , 1989, Discret. Appl. Math..
[23] M. Fellows,et al. Bounded combinatorial width and forbidden substructures , 1995 .
[24] Craig A. Tovey,et al. Deterministic Decomposition of Recursive Graph Classes , 1991, SIAM J. Discret. Math..
[25] Erick Mata-Montero,et al. Resilience of partial k-tree networks with edge and node failures , 1991, Networks.
[26] Paul D. Seymour,et al. Graph minors. VII. Disjoint paths on a surface , 1988, J. Comb. Theory, Ser. B.
[27] Robin Thomas,et al. Quickly Excluding a Planar Graph , 1994, J. Comb. Theory, Ser. B.
[28] Hans L. Bodlaender,et al. On Linear Time Minor Tests with Depth-First Search , 1993, J. Algorithms.
[29] A. Asensio. Structural and Algorithmic Aspects of Chordal Graph Embeddings , 1996 .
[30] Bruno Courcelle,et al. An algebraic theory of graph reduction , 1993, JACM.
[31] Stefan Arnborg,et al. Canonical representations of partial 2- and 3-trees , 1992, BIT.
[32] Jeffrey Scott Vitter,et al. Dynamic algorithms for optimization problems in bounded tree-width graphs , 1993, IPCO.
[33] R. Fildes. Journal of the Royal Statistical Society (B): Gary K. Grunwald, Adrian E. Raftery and Peter Guttorp, 1993, “Time series of continuous proportions”, 55, 103–116.☆ , 1993 .
[34] Paul D. Seymour,et al. Graph Minors: XV. Giant Steps , 1996, J. Comb. Theory, Ser. B.
[35] Paul D. Seymour,et al. Graph minors. VIII. A kuratowski theorem for general surfaces , 1990, J. Comb. Theory, Ser. B.
[36] Stefan Arnborg,et al. Graph decompositions and tree automata in reasoning with uncertainty , 1993, J. Exp. Theor. Artif. Intell..
[37] Bruno Courcelle,et al. The Monadic Second-Order Logic of Graphs. I. Recognizable Sets of Finite Graphs , 1990, Inf. Comput..
[38] Robin Thomas,et al. Quickly excluding a forest , 1991, J. Comb. Theory, Ser. B.
[39] Torben Hagerup,et al. Parallel Algorithms with Optimal Speedup for Bounded Treewidth , 1995, ICALP.
[40] Eugene L. Lawler,et al. Linear-Time Computation of Optimal Subgraphs of Decomposable Graphs , 1987, J. Algorithms.
[41] Eitan M. Gurari,et al. Improved Dynamic Programming Algorithms for Bandwidth Minimization and the MinCut Linear Arrangement Problem , 1984, J. Algorithms.
[42] John R. Gilbert,et al. Approximating Treewidth, Pathwidth, Frontsize, and Shortest Elimination Tree , 1995, J. Algorithms.
[43] G. Grätzer,et al. The free $$ \mathfrak{m} $$ -lattice on the poset H , 1984 .
[44] Bruno Courcelle,et al. The Monadic Second-Order Logic of Graphs V: On Closing the Gap Between Definability and Recognizability , 1991, Theor. Comput. Sci..
[45] Haim Kaplan,et al. Tractability of parameterized completion problems on chordal and interval graphs: minimum fill-in and physical mapping , 1994, Proceedings 35th Annual Symposium on Foundations of Computer Science.
[46] D. Thilikos,et al. Treewidth and small separators for graphs with small chordality , 1995 .
[47] Joseph G. Peters,et al. Regularity and Locality in K-terminal Graphs , 1994, Discret. Appl. Math..
[48] Konstantin Yu. Gorbunov,et al. An Estimate of the Tree-Width of a Planar Graph Which Has Not a Given Planar Grid as a Minor , 1998, WG.
[49] Paul D. Seymour,et al. Graph Minors: XVII. Taming a Vortex , 1999, J. Comb. Theory, Ser. B.
[50] Michael R. Fellows,et al. FIXED-PARAMETER TRACTABILITY AND COMPLETENESS , 2022 .
[51] Bruno Courcelle,et al. Graph Rewriting: An Algebraic and Logic Approach , 1991, Handbook of Theoretical Computer Science, Volume B: Formal Models and Sematics.
[52] Hans L. Bodlaender,et al. Polynomial Algorithms for Graph Isomorphism and Chromatic Index on Partial k-Trees , 1988, J. Algorithms.
[53] Paul D. Seymour,et al. Graph minors. I. Excluding a forest , 1983, J. Comb. Theory, Ser. B.
[54] Hans L. Bodlaender,et al. A linear time algorithm for finding tree-decompositions of small treewidth , 1993, STOC.
[55] Shin-Ichi Nakano,et al. Edge-Coloring Partial k-Trees , 1996, J. Algorithms.
[56] Jan van Leeuwen,et al. On Interval Routing Schemes and Treewidth , 1995, WG.
[57] Michael R. Fellows,et al. Nonconstructive Advances in Polynomial-Time Complexity , 1987, Inf. Process. Lett..
[58] Hans L. Boblaender. Polynomial algorithms for graph isomorphism and chromatic index on partial k -trees , 1990 .
[59] James B. Saxe,et al. Dynamic-Programming Algorithms for Recognizing Small-Bandwidth Graphs in Polynomial Time , 1980, SIAM J. Algebraic Discret. Methods.
[60] Daniel Bienstock,et al. Graph Searching, Path-Width, Tree-Width and Related Problems (A Survey) , 1989, Reliability Of Computer And Communication Networks.
[61] Michael R. Fellows,et al. On Well-Partial-Order Theory and its Application to Combinatorial Problems of VLSI Design , 1989, SIAM J. Discret. Math..
[62] Hans L. Bodlaender,et al. A Partial k-Arboretum of Graphs with Bounded Treewidth , 1998, Theor. Comput. Sci..
[63] Joost Engelfriet,et al. Domino Treewidth , 1997, J. Algorithms.
[64] Hans L. Bodlaender,et al. On Disjoint Cycles , 1991, Int. J. Found. Comput. Sci..
[65] Paul D. Seymour,et al. Graph minors. VI. Disjoint paths across a disc , 1986, J. Comb. Theory, Ser. B.
[66] Hans L. Bodlaender,et al. A Tourist Guide through Treewidth , 1993, Acta Cybern..
[67] C. Pandu Rangan,et al. Treewidth of Circular-Arc Graphs , 1994, SIAM J. Discret. Math..
[68] David Fernández-Baca,et al. Parametric Problems on Graphs of Bounded Tree-Width , 1992, J. Algorithms.
[69] Dieter Kratsch,et al. Treewidth of Chordal Bipartite Graphs , 1993, J. Algorithms.
[70] Paul D. Seymour,et al. Graph Minors. II. Algorithmic Aspects of Tree-Width , 1986, J. Algorithms.
[71] Hans L. Bodlaender,et al. Complexity of Path-Forming Games , 1993, Theor. Comput. Sci..
[72] John R. Gilbert,et al. Approximating Treewidth, Pathwidth, and Minimum Elimination Tree Height , 1991, WG.
[73] Michael R. Fellows,et al. Fast search algorithms for layout permutation problems , 1991, Integr..
[74] Stefan Arnborg,et al. Forbidden minors characterization of partial 3-trees , 1990, Discret. Math..
[75] Michael R. Fellows,et al. Fixed-Parameter Tractability and Completeness IV: On Completeness for W[P] and PSPACE Analogues , 1995, Ann. Pure Appl. Log..
[76] D. Bienstock,et al. Algorithmic Implications of the Graph Minor Theorem , 1995 .
[77] David J. Spiegelhalter,et al. Local computations with probabilities on graphical structures and their application to expert systems , 1990 .
[78] Paul D. Seymour,et al. Graph minors. IX. Disjoint crossed paths , 1990, J. Comb. Theory, Ser. B.
[79] Greg N. Frederickson,et al. Maintaining Regular Properties Dynamically in k-Terminal Graphs , 1998, Algorithmica.
[80] Paul D. Seymour,et al. Graph Minors. XI. Circuits on a Surface , 1994, J. Comb. Theory, Ser. B.
[81] Detlef Seese,et al. Monadic Second Order Logic, Tree Automata and Forbidden Minors , 1990, CSL.
[82] 梶谷 洋司,et al. Minimal Acyclic Forbidden Minors for the Family of Graphs with Bounded Path - Width , 1991 .
[83] Christos D. Zaroliagis,et al. Optimal Parallel Shortest Paths in Small Treewidth Digraphs , 1995, ESA.
[84] Dieter Kratsch,et al. Treewidth and Pathwidth of Permutation Graphs , 1995, SIAM J. Discret. Math..
[85] Hans L. Bodlaender,et al. Reduction Algorithms for Constructing Solutions in Graphs with Small Treewidth , 1996, COCOON.
[86] Ton Kloks. Treewidth of Circle Graphs , 1996, Int. J. Found. Comput. Sci..
[87] Paul D. Seymour,et al. Graph minors. III. Planar tree-width , 1984, J. Comb. Theory, Ser. B.
[88] Jens Lagergren,et al. Efficient Parallel Algorithms for Graphs of Bounded Tree-Width , 1996, J. Algorithms.
[89] Michael R. Fellows,et al. Nonconstructive tools for proving polynomial-time decidability , 1988, JACM.
[90] Hans L. Bodlaender,et al. Dynamic Algorithms for Graphs with Treewidth 2 , 1993, WG.
[91] B. Monien. The bandwidth minimization problem for caterpillars with hair length 3 is NP-complete , 1986 .
[92] Darko Skorin-Kapov,et al. NC Algorithms for Recognizing Partial 2-Trees and 3-Trees , 1991, SIAM J. Discret. Math..
[93] Arvind Gupta,et al. The Complexity of Subgraph Isomorphism Duality Results for Graphs of Bounded Path and Tree Width , 1995 .
[94] Ivan Hal Sudborough,et al. The Vertex Separation and Search Number of a Graph , 1994, Inf. Comput..
[95] Renate Garbe. Tree-width and Path-width of Comparability Graphs of interval Orders , 1994, WG.
[96] Jan Arne Telle,et al. Efficient Sets in Partial k-Trees , 1993, Discret. Appl. Math..
[97] David Eppstein,et al. The Polyhedral Approach to the Maximum Planar Subgraph Problem: New Chances for Related Problems , 1994, GD.
[98] Naomi Nishimura,et al. Characterizations of k-terminal flow networks and computing network flows in partial k-trees , 1995, SODA '95.
[99] Michael R. Fellows,et al. Fixed-parameter tractability and completeness III: some structural aspects of the W hierarchy , 1993 .
[100] Robin Thomas,et al. On the complexity of finding iso- and other morphisms for partial k-trees , 1992, Discret. Math..
[101] Michael R. Fellows,et al. On search, decision, and the efficiency of polynomial-time algorithms , 1994, FOCS 1994.
[102] Stephen T. Hedetniemi,et al. Linear algorithms on k-terminal graphs , 1987 .
[103] Jan van Leeuwen,et al. On Interval Routing Schemes and Treewidth , 1995, Inf. Comput..
[104] Michael A. Langston,et al. obstruction Set Isolation for the Gate Matrix Layout Problem , 1994, Discret. Appl. Math..
[105] Bruno Courcelle,et al. Monadic Second-Order Evaluations on Tree-Decomposable Graphs , 1993, Theor. Comput. Sci..
[106] M. Fellows,et al. Beyond NP-completeness for problems of bounded width: hardness for the W hierarchy , 1994, Symposium on the Theory of Computing.
[107] Damon Kaller,et al. Definability Equals Recognizability of Partial 3-Trees , 1996, WG.
[108] Paul D. Seymour,et al. Graph minors. IV. Tree-width and well-quasi-ordering , 1990, J. Comb. Theory, Ser. B.
[109] Hans L. Bodlaender,et al. Parallel Algorithms for Treewidth Two , 1997, WG.
[110] David Fernández-Baca,et al. Parametric Module Allocation on Partial k-Trees , 1993, IEEE Trans. Computers.
[111] Paul D. Seymour,et al. Graph minors. V. Excluding a planar graph , 1986, J. Comb. Theory B.
[112] Michael R. Fellows,et al. On search decision and the efficiency of polynomial-time algorithms , 1989, STOC '89.
[113] Michael R. Fellows,et al. A Simple Linear-Time Algorithm for Finding Path-Decompositions of Small Width , 1994, Inf. Process. Lett..
[114] Cyril Gavoille. On the Dilation of Interval Routing , 1997, MFCS.
[115] Klaus Jansen,et al. Generalized Coloring for Tree-like Graphs , 1992, WG.
[116] Ton Kloks,et al. Efficient and Constructive Algorithms for the Pathwidth and Treewidth of Graphs , 1993, J. Algorithms.
[117] Siddharthan Ramachandramurthi,et al. Algorithms for VLSI layout based on graph width metrics , 1994 .
[118] B. D. Fluiter. Algorithms for graphs of small treewidth , 1997 .
[119] Rolf H. Möhring,et al. The Pathwidth and Treewidth of Cographs , 1993, SIAM J. Discret. Math..
[120] M. Habib,et al. Treewidth of cocomparability graphs and a new order-theoretic parameter , 1994 .
[121] Mikkel Thorup,et al. All Structured Programs have Small Tree-Width and Good Register Allocation , 1998, Inf. Comput..
[122] Paul D. Seymour,et al. Graph minors. X. Obstructions to tree-decomposition , 1991, J. Comb. Theory, Ser. B.
[123] Jan Arne Telle,et al. Practical Algorithms on Partial k-Trees with an Application to Domination-like Problems , 1993, WADS.
[124] Daniel P. Sanders. On Linear Recognition of Tree-Width at Most Four , 1996, SIAM J. Discret. Math..
[125] Dominique Perrin,et al. Finite Automata , 1958, Philosophy.
[126] Michael R. Fellows,et al. Fixed-Parameter Tractability and Completeness II: On Completeness for W[1] , 1995, Theor. Comput. Sci..
[127] Jens Gustedt,et al. On the Pathwidth of Chordal Graphs , 1993, Discret. Appl. Math..