Genus characterizes the complexity of certain graph problems: Some tight results
暂无分享,去创建一个
Ge Xia | Jianer Chen | Ljubomir Perkovic | Iyad A. Kanj | Eric Sedgwick | Jianer Chen | E. Sedgwick | Ge Xia | Ljubomir Perković
[1] Michael R. Fellows,et al. Parameterized Complexity , 1998 .
[2] Jonathan L. Gross,et al. Topological Graph Theory , 1987, Handbook of Graph Theory.
[3] Giorgio Gambosi,et al. Complexity and approximation: combinatorial optimization problems and their approximability properties , 1999 .
[4] Stefan Szeider,et al. Remarks on the Concept of Robust Algorithm , 2001 .
[5] Hristo Djidjev,et al. Planarization of Graphs Embedded on Surfaces , 1995, WG.
[6] Weijia Jia,et al. Vertex Cover: Further Observations and Further Improvements , 2001, J. Algorithms.
[7] Rolf Niedermeier,et al. A refined search tree technique for Dominating Set on planar graphs , 2005, J. Comput. Syst. Sci..
[8] Iyad A. Kanj,et al. A note on parameterized exponential time complexity , 2003 .
[9] Dimitrios M. Thilikos,et al. Fast Parameterized Algorithms for Graphs on Surfaces: Linear Kernel and Exponential Speed-Up , 2004, ICALP.
[10] R. Steele. Optimization , 2005 .
[11] 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).
[12] Ge Xia,et al. Tight lower bounds for certain parameterized NP-hard problems , 2004, Proceedings. 19th IEEE Annual Conference on Computational Complexity, 2004..
[13] Mihalis Yannakakis,et al. Optimization, approximation, and complexity classes , 1991, STOC '88.
[14] Rolf Niedermeier,et al. Invitation to Fixed-Parameter Algorithms , 2006 .
[15] Liming Cai,et al. On the existence of subexponential parameterized algorithms , 2003, J. Comput. Syst. Sci..
[16] Jianer Chen. Algorithmic Graph Embeddings , 1997, Theor. Comput. Sci..
[17] Erik D. Demaine,et al. Subexponential parameterized algorithms on graphs of bounded-genus and H-minor-free graphs , 2004, SODA '04.
[18] Erik D. Demaine,et al. Subexponential parameterized algorithms on bounded-genus graphs and H-minor-free graphs , 2005, JACM.
[19] Michael R. Fellows,et al. The Dominating Set Problem Is Fixed Parameter Tractable for Graphs of Bounded Genus , 2002, SWAT.
[20] Robert E. Tarjan,et al. Applications of a planar separator theorem , 1977, 18th Annual Symposium on Foundations of Computer Science (sfcs 1977).
[21] Jianer Chen,et al. A Note on Approximating Graph Genus , 1997, Inf. Process. Lett..
[22] Dimitrios M. Thilikos,et al. Dominating sets in planar graphs: branch-width and exponential speed-up , 2003, SODA '03.
[23] Erik D. Demaine,et al. Exponential Speedup of Fixed-Parameter Algorithms for Classes of Graphs Excluding Single-Crossing Graphs as Minors , 2005, Algorithmica.
[24] Ljubomir Perkovic,et al. Improved Parameterized Algorithms for Planar Dominating Set , 2002, MFCS.
[25] Rolf Niedermeier,et al. Parameterized complexity: exponential speed-up for planar graph problems , 2004, J. Algorithms.
[26] Russell Impagliazzo,et al. Which Problems Have Strongly Exponential Complexity? , 2001, J. Comput. Syst. Sci..
[27] Carsten Thomassen,et al. The Graph Genus Problem is NP-Complete , 1989, J. Algorithms.
[28] Erik D. Demaine,et al. Exponential Speedup of Fixed-Parameter Algorithms on K3, 3-Minor-Free or K5-Minor-Free Graphs , 2002, ISAAC.
[29] Leslie E. Trotter,et al. Vertex packings: Structural properties and algorithms , 1975, Math. Program..
[30] Carsten Lund,et al. Proof verification and the hardness of approximation problems , 1998, JACM.
[31] Marek Karpinski,et al. Polynomial Time Approximation Schemes for Dense Instances of NP-Hard Problems , 1999, J. Comput. Syst. Sci..
[32] Arthur T. White,et al. TOPOLOGICAL GRAPH THEORY (Wiley Interscience Series in Discrete Mathematics and Optimization) , 1988 .
[33] Erik D. Demaine,et al. The Bidimensionality Theory and Its Algorithmic Applications , 2008, Comput. J..
[34] Carsten Lund,et al. Proof verification and hardness of approximation problems , 1992, Proceedings., 33rd Annual Symposium on Foundations of Computer Science.
[35] David S. Johnson,et al. Computers and Intractability: A Guide to the Theory of NP-Completeness , 1978 .
[36] Dorit S. Hochbaum,et al. Efficient bounds for the stable set, vertex cover and set packing problems , 1983, Discret. Appl. Math..
[37] Rolf Niedermeier,et al. Refined Search Tree Technique for DOMINATING SET on Planar Graphs , 2001, MFCS.
[38] Michael R. Fellows,et al. The dominating set problem is fixed parameter tractable for graphs of bounded genus , 2004, J. Algorithms.
[39] Rolf Niedermeier,et al. Polynomial-time data reduction for dominating set , 2002, JACM.
[40] David S. Johnson,et al. What are the least tractable instances of max independent set? , 1999, SODA '99.
[41] Ge Xia,et al. Strong computational lower bounds via parameterized complexity , 2006, J. Comput. Syst. Sci..
[42] Ge Xia,et al. Genus Characterizes the Complexity of Graph Problems: Some Tight Results , 2003, ICALP.
[43] Ge Xia,et al. Linear FPT reductions and computational lower bounds , 2004, STOC '04.