Exact algorithms for NP hard problems on networks: design, analysis and implementation
暂无分享,去创建一个
[1] N. Alon,et al. A separator theorem for nonplanar graphs , 1990 .
[2] Giorgio Gambosi,et al. Complexity and Approximation , 1999, Springer Berlin Heidelberg.
[3] Zhi-Zhong Chen,et al. Approximation Algorithms for Independent Sets in Map Graphs , 2000, J. Algorithms.
[4] Russell Impagliazzo,et al. Which problems have strongly exponential complexity? , 1998, Proceedings 39th Annual Symposium on Foundations of Computer Science (Cat. No.98CB36280).
[5] Harry B. Hunt,et al. Simple heuristics for unit disk graphs , 1995, Networks.
[6] Derek G. Corneil,et al. Complexity of finding embeddings in a k -tree , 1987 .
[7] Heribert Vollmer,et al. A polynomial-time approximation scheme for base station positioning in UMTS networks , 2001, DIALM '01.
[8] J. Van Leeuwen,et al. Handbook of theoretical computer science - Part A: Algorithms and complexity; Part B: Formal models and semantics , 1990 .
[9] Martin Grohe. Local Tree-Width, Excluded Minors, and Approximation Algorithms , 2003, Comb..
[10] Brenda S. Baker,et al. Approximation algorithms for NP-complete problems on planar graphs , 1983, 24th Annual Symposium on Foundations of Computer Science (sfcs 1983).
[11] Weijia Jia,et al. Vertex Cover: Further Observations and Further Improvements , 1999, J. Algorithms.
[12] Rolf Niedermeier,et al. Towards Optimally Solving the LONGEST COMMON SUBSEQUENCE Problem for Sequences with Nested Arc Annotations in Linear Time , 2002, CPM.
[13] Bruce A. Reed,et al. Finding approximate separators and computing tree width quickly , 1992, STOC '92.
[14] Takao Asano,et al. An Approach to the Subgraph Homeomorphism Problem , 1985, Theor. Comput. Sci..
[15] Ronald C. Read,et al. Prospects for Graph Theory Algorithms , 1993 .
[16] Reinhard Diestel,et al. Simplicial decompositions of graphs: a survey of applications , 1989, Discret. Math..
[17] Hans L. Bodlaender,et al. Dynamic Programming on Graphs with Bounded Treewidth , 1988, ICALP.
[18] Francesco M. Donini,et al. Preprocessing of Intractable Problems , 2002, Inf. Comput..
[19] Karsten Weihe. On the Differences between "Practical" and "Applied" , 2000, Algorithm Engineering.
[20] Martin Grohe,et al. Deciding first-order properties of locally tree-decomposable structures , 2000, JACM.
[21] Stefan Arnborg,et al. Linear time algorithms for NP-hard problems restricted to partial k-trees , 1989, Discret. Appl. Math..
[22] V. Rich. Personal communication , 1989, Nature.
[23] Leslie E. Trotter,et al. Vertex packings: Structural properties and algorithms , 1975, Math. Program..
[24] R. Downey,et al. Parameterized Computational Feasibility , 1995 .
[25] R. Battiti,et al. Covering Trains by Stations or the Power of Data Reduction , 1998 .
[26] Harry B. Hunt,et al. NC-Approximation Schemes for NP- and PSPACE-Hard Problems for Geometric Graphs , 1998, J. Algorithms.
[27] Hans L. Bodlaender. A linear time algorithm for finding tree-decompositions of small treewidth , 1993, STOC '93.
[28] Dimitrios M. Thilikos,et al. Dominating sets in planar graphs: branch-width and exponential speed-up , 2003, SODA '03.
[29] Illya V. Hicks. Branch decompositions and their applications , 2000 .
[30] Madhu Sudan,et al. A Geometric Approach to Betweenness , 1995, ESA.
[31] Robin Thomas,et al. Graph Searching and a Min-Max Theorem for Tree-Width , 1993, J. Comb. Theory, Ser. B.
[32] Shimon Even,et al. Graph Algorithms , 1979 .
[33] Kurt Mehlhorn,et al. LEDA: a platform for combinatorial and geometric computing , 1997, CACM.
[34] Robin Thomas,et al. Efficiently four-coloring planar graphs , 1996, STOC '96.
[35] Rolf Niedermeier,et al. Efficient Data Reduction for DOMINATING SET: A Linear Problem Kernel for the Planar Case , 2002, SWAT.
[36] Rolf Niedermeier,et al. An Efficient Exact Algorithm for Constraint Bipartite Vertex Cover , 1999, J. Algorithms.
[37] Dimitrios Thilikos Touloupas,et al. New upper bounds on the decomposability of planar graphs and fixed parameter algorithms , 2002 .
[38] Hristo Djidjev,et al. Reduced constants for simple cycle graph separation , 1997, Acta Informatica.
[39] John R. Gilbert,et al. Approximating Treewidth, Pathwidth, Frontsize, and Shortest Elimination Tree , 1995, J. Algorithms.
[40] D. Corneil,et al. A dynamic programming approach to the dominating set problem on k trees , 1987 .
[41] Rolf Niedermeier,et al. On Multidimensional Curves with Hilbert Property , 2000, Theory of Computing Systems.
[42] Michael R. Fellows,et al. The Dominating Set Problem Is Fixed Parameter Tractable for Graphs of Bounded Genus , 2002, SWAT.
[43] Ljubomir Perkovic,et al. Improved Parameterized Algorithms for Planar Dominating Set , 2002, MFCS.
[44] John Michael Robson,et al. Algorithms for Maximum Independent Sets , 1986, J. Algorithms.
[45] Paolo Penna,et al. Server Placements, Roman Domination and other Dominating Set Variants , 2002, IFIP TCS.
[46] Ravi B. Boppana,et al. Approximating maximum independent sets by excluding subgraphs , 1990, BIT.
[47] Bengt Aspvall,et al. Memory Requirements for Table Computations in Partial \sl k -Tree Algorithms , 2000, Algorithmica.
[48] Rolf Niedermeier,et al. On Multi-dimensional Hilbert Indexings , 1998, COCOON.
[49] Gary L. Miller,et al. Separators for sphere-packings and nearest neighbor graphs , 1997, JACM.
[50] Jan Arne Telle,et al. Complexity of Domination-Type Problems in Graphs , 1994, Nord. J. Comput..
[51] Bengt Aspvall,et al. Memory Requirements for Table Computations in Partial k-tree Algorithms , 1998, SWAT.
[52] Tomomi Matsui,et al. Approximation Algorithms for Maximum Independent Set Problems and Fractional Coloring Problems on Unit Disk Graphs , 1998, JCDCG.
[53] Robin Thomas,et al. Call routing and the ratcatcher , 1994, Comb..
[54] Ton Kloks,et al. New Algorithms for k-Face Cover, k-Feedback Vertex Set, and k -Disjoint Cycles on Plane and Planar Graphs , 2002, WG.
[55] Robert E. Tarjan,et al. Efficient Planarity Testing , 1974, JACM.
[56] G. Ringel,et al. Solution of the heawood map-coloring problem. , 1968, Proceedings of the National Academy of Sciences of the United States of America.
[57] Russ Bubley,et al. Randomized algorithms , 1995, CSUR.
[58] V. Paschos. A survey of approximately optimal solutions to some covering and packing problems , 1997, CSUR.
[59] Rolf Niedermeier,et al. An efficient fixed-parameter algorithm for 3-Hitting Set , 2003, J. Discrete Algorithms.
[60] Samir Khuller,et al. Algorithms column: the vertex cover problem , 2002, SIGA.
[61] E. Rowland. Theory of Games and Economic Behavior , 1946, Nature.
[62] Carsten Thomassen,et al. Graphs on Surfaces , 2001, Johns Hopkins series in the mathematical sciences.
[63] Bruno Courcelle,et al. An algebraic theory of graph reduction , 1993, JACM.
[64] Fedor V. Fomin,et al. Tree decompositions with small cost , 2002, Discret. Appl. Math..
[65] S. Hedetniemi,et al. Domination in graphs : advanced topics , 1998 .
[66] Carsten Lund,et al. Proof verification and hardness of approximation problems , 1992, Proceedings., 33rd Annual Symposium on Foundations of Computer Science.
[67] David S. Johnson,et al. Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .
[68] Mihalis Yannakakis,et al. Optimization, approximation, and complexity classes , 1991, STOC '88.
[69] Clyde L. Monma,et al. On the Complexity of Covering Vertices by Faces in a Planar Graph , 1988, SIAM J. Comput..
[70] Robert E. Tarjan,et al. Finding a Maximum Independent Set , 1976, SIAM J. Comput..
[71] D. Knuth,et al. Mathematics for the Analysis of Algorithms , 1999 .
[72] Dave A. Berque,et al. Implementing progress indicators for recursive algorithms , 1993, SAC '93.
[73] Paul D. Seymour,et al. Graph minors. X. Obstructions to tree-decomposition , 1991, J. Comb. Theory, Ser. B.
[74] Constant Time Computation of Minimum Dominating Sets , 1994 .
[75] Hans L. Bodlaender,et al. A Partial k-Arboretum of Graphs with Bounded Treewidth , 1998, Theor. Comput. Sci..
[76] Liming Cai,et al. On the existence of subexponential parameterized algorithms , 2003, J. Comput. Syst. Sci..
[77] Norman,et al. Structural Models: An Introduction to the Theory of Directed Graphs. , 1966 .
[78] R. Tarjan,et al. A Separator Theorem for Planar Graphs , 1977 .
[79] K. Appel,et al. Every Planar Map Is Four Colorable , 2019, Mathematical Solitaires & Games.
[80] Zhi-Zhong Chen,et al. Map graphs , 1999, JACM.
[81] Dieter Kratsch,et al. On treewidth approximations , 2004, Discret. Appl. Math..
[82] Bojan Mohar,et al. A Linear Time Algorithm for Embedding Graphs in an Arbitrary Surface , 1999, SIAM J. Discret. Math..
[83] V. Kann,et al. How to find the best approximation results – a follow-up to Garey and Johnson ∗ , 1998 .
[84] Shlomo Moran,et al. Non Deterministic Polynomial Optimization Problems and their Approximations , 1977, Theor. Comput. Sci..
[85] Dorit S. Hochba,et al. Approximation Algorithms for NP-Hard Problems , 1997, SIGA.
[86] André E. Kézdy,et al. Sequential and parallel algorithms to find a K5 minor , 1992, SODA '92.
[87] Peter J. Slater,et al. Fundamentals of domination in graphs , 1998, Pure and applied mathematics.
[88] Erik D. Demaine,et al. -Approximation for Treewidth of Graphs Excluding a Graph with One Crossing as a Minor , 2002, APPROX.
[89] Gary L. Miller,et al. A unified geometric approach to graph separators , 1991, [1991] Proceedings 32nd Annual Symposium of Foundations of Computer Science.
[90] Ewa Malesinska. Graph-Theoretical Models for Frequency Assignment Problems , 1997 .
[91] Hans L. Bodlaender,et al. A Tourist Guide through Treewidth , 1993, Acta Cybern..
[92] Ewald Speckenmeyer,et al. Ramsey numbers and an approximation algorithm for the vertex cover problem , 1985, Acta Informatica.
[93] Rolf Niedermeier,et al. Parameterized complexity: exponential speed-up for planar graph problems , 2001, J. Algorithms.
[94] Robert E. Tarjan,et al. Applications of a planar separator theorem , 1977, 18th Annual Symposium on Foundations of Computer Science (sfcs 1977).
[95] Jan Arne Telle,et al. Practical Algorithms on Partial k-Trees with an Application to Domination-like Problems , 1993, WADS.
[96] Subhash Suri,et al. Label placement by maximum independent set in rectangles , 1998, CCCG.
[97] Meena Mahajan,et al. Parametrizing Above Guaranteed Values: MaxSat and MaxCut , 1997, Electron. Colloquium Comput. Complex..
[98] Stephen A. Cook,et al. Time-bounded random access machines , 1972, J. Comput. Syst. Sci..
[99] Michael R. Fellows,et al. Fixed-Parameter Tractability and Completeness II: On Completeness for W[1] , 1995, Theor. Comput. Sci..
[100] F. Roberts. Graph Theory and Its Applications to Problems of Society , 1987 .
[101] Michael R. Fellows,et al. Parameterized complexity: A framework for systematically confronting computational intractability , 1997, Contemporary Trends in Discrete Mathematics.
[102] Dr. Zbigniew Michalewicz,et al. How to Solve It: Modern Heuristics , 2004 .
[103] A. Bonato,et al. Graphs and Hypergraphs , 2021, Clustering.
[104] David Peleg,et al. Exact Algorithms and Approximation Schemes for Base Station Placement Problems , 2002, SWAT.
[105] Eugene L. Lawler,et al. Linear-Time Computation of Optimal Subgraphs of Decomposable Graphs , 1987, J. Algorithms.
[106] Rolf Niedermeier,et al. Improved Tree Decomposition Based Algorithms for Domination-like Problems , 2002, LATIN.
[107] Paul D. Seymour,et al. Excluding a graph with one crossing , 1991, Graph Structure Theory.
[108] Bruno Courcelle,et al. Graph Rewriting: An Algebraic and Logic Approach , 1991, Handbook of Theoretical Computer Science, Volume B: Formal Models and Sematics.
[109] Norishige Chiba,et al. A Linear 5-Coloring Algorithm of Planar Graphs , 1981, J. Algorithms.
[110] Rolf Niedermeier,et al. Refined Search Tree Technique for DOMINATING SET on Planar Graphs , 2001, MFCS.
[111] Erik D. Demaine,et al. Exponential Speedup of Fixed-Parameter Algorithms on K3, 3-Minor-Free or K5-Minor-Free Graphs , 2002, ISAAC.
[112] Rolf Niedermeier,et al. Graph Separators: A Parameterized View , 2001, COCOON.
[113] Kurt Mehlhorn,et al. The LEDA Platform of Combinatorial and Geometric Computing , 1997, ICALP.
[114] H. Djidjev. On the Problem of Partitioning Planar Graphs , 1982 .
[115] Michael R. Fellows,et al. Parameterized Complexity: The Main Ideas and Some Research Frontiers , 2009, ISAAC.
[116] B. A. Farbey,et al. Structural Models: An Introduction to the Theory of Directed Graphs , 1966 .
[117] Mihir Bellare,et al. Free bits, PCPs and non-approximability-towards tight results , 1995, Proceedings of IEEE 36th Annual Foundations of Computer Science.
[118] David Eppstein,et al. A deterministic linear time algorithm for geometric separators and its applications , 1993, SCG '93.
[119] Arkady Kanevsky,et al. Finding all minimum-size separating vertex sets in a graph , 1993, Networks.
[120] Johan Håstad,et al. Some optimal inapproximability results , 2001, JACM.
[121] Illya V. Hicks,et al. Planar Branch Decompositions , 2000 .
[122] Hristo Djidjev,et al. Linear Algorithms for Partitioning Embedded Graphs of Bounded Genus , 1996, SIAM J. Discret. Math..
[123] Ulrike Stege,et al. Solving large FPT problems on coarse-grained parallel machines , 2003, J. Comput. Syst. Sci..
[124] Robin Thomas,et al. Planar Separators , 1994, SIAM J. Discret. Math..
[125] Jon M. Kleinberg,et al. A deterministic (2-2/(k+1))n algorithm for k-SAT based on local search , 2002, Theor. Comput. Sci..
[126] Stefan Arnborg,et al. Forbidden minors characterization of partial 3-trees , 1990, Discret. Math..
[127] Arie M. C. A. Koster,et al. Treewidth: Computational Experiments , 2001, Electron. Notes Discret. Math..
[128] Sugih Jamin,et al. Inet: Internet Topology Generator , 2000 .
[129] Klaus Jansen,et al. Polynomial-time approximation schemes for geometric graphs , 2001, SODA '01.
[130] Norishige Chiba,et al. A Linear Algorithm for Embedding Planar Graphs Using PQ-Trees , 1985, J. Comput. Syst. Sci..
[131] Robin Thomas,et al. A separator theorem for graphs with an excluded minor and its applications , 1990, STOC '90.
[132] B. A. Reed,et al. Algorithmic Aspects of Tree Width , 2003 .
[133] Amit Sahai,et al. Pushing disks together—the continuous-motion case , 1996, STOC '96.
[134] Shang-Hua Teng,et al. Disk packings and planar separators , 1996, SCG '96.
[135] Rolf Niedermeier,et al. Fixed Parameter Algorithms for DOMINATING SET and Related Problems on Planar Graphs , 2002, Algorithmica.
[136] Jochen Alber,et al. On implemented semigroups , 2001 .
[137] Carsten Lund,et al. On the hardness of approximating minimization problems , 1994, JACM.
[138] David S. Johnson,et al. Some Simplified NP-Complete Graph Problems , 1976, Theor. Comput. Sci..
[139] Rolf Niedermeier,et al. Upper Bounds for Vertex Cover Further Improved , 1999, STACS.
[140] Michael R. Fellows,et al. An Improved Fixed-Parameter Algorithm for Vertex Cover , 1998, Inf. Process. Lett..
[141] Shankar M. Venkatesan. Improved Constants for Some Separator Theorems , 1987, J. Algorithms.
[142] M. Fellows,et al. An improved fixed parameter tractable algorithm for vertex cover , 1999 .
[143] Jan van Leeuwen,et al. Handbook of Theoretical Computer Science, Vol. A: Algorithms and Complexity , 1994 .
[144] Jie Wu,et al. Domination and its applications in ad hoc wireless networks with unidirectional links , 2000, Proceedings 2000 International Conference on Parallel Processing.
[145] W. Kent Fuchs,et al. Efficient Spare Allocation in Reconfigurable Arrays , 1986, 23rd ACM/IEEE Design Automation Conference.
[146] Michael R. Fellows,et al. Fixed Parameter Tractability and Completeness , 1992, Complexity Theory: Current Research.
[147] Weijia Jia,et al. Vertex Cover: Further Observations and Further Improvements , 2001, J. Algorithms.
[148] Jan Arne Telle,et al. Algorithms for Vertex Partitioning Problems on Partial k-Trees , 1997, SIAM J. Discret. Math..
[149] Henning Fernau,et al. Graph Separator Algorithms: A Refined Analysis , 2002, WG.
[150] Frank Harary,et al. Graph Theory , 2016 .
[151] Michael R. Fellows,et al. Parameterized Complexity , 1998 .
[152] Michael R. Fellows,et al. Fixed-Parameter Tractability and Completeness IV: On Completeness for W[P] and PSPACE Analogues , 1995, Ann. Pure Appl. Log..
[153] Charles J. Colbourn,et al. Unit disk graphs , 1991, Discret. Math..
[154] Michael R. Fellows,et al. Nonconstructive Advances in Polynomial-Time Complexity , 1987, Inf. Process. Lett..
[155] Reuven Bar-Yehuda,et al. A Local-Ratio Theorem for Approximating the Weighted Vertex Cover Problem , 1983, WG.
[156] Judy Goldsmith,et al. Nondeterminism Within P , 1993, SIAM J. Comput..
[157] Paul D. Seymour,et al. Graph Minors. II. Algorithmic Aspects of Tree-Width , 1986, J. Algorithms.
[158] Ton Kloks. Treewidth, Computations and Approximations , 1994, Lecture Notes in Computer Science.
[159] A. Brandstädt,et al. Graph Classes: A Survey , 1987 .