Efficient Algorithms for Shortest-Path and Maximum-Flow Problems in Planar Graphs
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[1] Karl Georg Christian von Staudt. Geometrie der Lage , 1847 .
[2] D. M. Y. Sommerville,et al. An Introduction to The Geometry of N Dimensions , 2022 .
[3] Robert E. Tarjan,et al. Fibonacci heaps and their uses in improved network optimization algorithms , 1987, JACM.
[4] Andrew V. Goldberg,et al. Finding Minimum-Cost Circulations by Successive Approximation , 1990, Math. Oper. Res..
[5] Saunders Mac Lane,et al. A combinatorial condition for planar graphs , 1937 .
[6] Robert E. Tarjan,et al. Efficiency of a Good But Not Linear Set Union Algorithm , 1972, JACM.
[7] Alon Itai,et al. Maximum Flow in Planar Networks , 1979, SIAM J. Comput..
[8] O. Zienkiewicz. The Finite Element Method In Engineering Science , 1971 .
[9] Erin W. Chambers,et al. Multiple source shortest paths in a genus g graph , 2007, SODA '07.
[10] Wei Yu,et al. Distance Oracles for Sparse Graphs , 2009, 2009 50th Annual IEEE Symposium on Foundations of Computer Science.
[11] G. Dantzig. On the Shortest Route Through a Network , 1960 .
[12] Donald Geman,et al. Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.
[13] Sergio Cabello,et al. Many Distances in Planar Graphs , 2006, SODA '06.
[14] Satish Rao,et al. Planar graphs, negative weight edges, shortest paths, and near linear time , 2006, J. Comput. Syst. Sci..
[15] Norbert Zeh,et al. An External Memory Data Structure for Shortest Path Queries , 1999, COCOON.
[16] Rainer E. Burkard,et al. Perspectives of Monge Properties in Optimization , 1996, Discret. Appl. Math..
[17] Christian Sommer,et al. More Compact Oracles for Approximate Distances in Planar Graphs , 2011, ArXiv.
[18] Vladimir Kolmogorov,et al. An Experimental Comparison of Min-Cut/Max-Flow Algorithms for Energy Minimization in Vision , 2004, IEEE Trans. Pattern Anal. Mach. Intell..
[19] Philip N. Klein,et al. Multiple-Source Multiple-Sink Maximum Flow in Directed Planar Graphs in Near-Linear Time , 2011, FOCS.
[20] Olga Veksler,et al. Fast Approximate Energy Minimization via Graph Cuts , 2001, IEEE Trans. Pattern Anal. Mach. Intell..
[21] Christian Sommer,et al. Approximate shortest path and distance queries in networks , 2010 .
[22] G. Borradaile,et al. Exploiting Planarity for Network Flow and Connectivity Problems , 2008 .
[23] D. R. Fulkerson,et al. Construction of maximal dynamic flows in networks. , 1957 .
[24] Philip N. Klein,et al. Shortest paths in directed planar graphs with negative lengths: A linear-space O(n log2 n)-time algorithm , 2010, TALG.
[25] Karsten Weihe,et al. The vertex-disjoint menger problem in planar graphs , 1997, SODA '93.
[26] Christian Sommer,et al. Exact distance oracles for planar graphs , 2010, SODA.
[27] Haim Kaplan,et al. Submatrix maximum queries in Monge matrices and Monge partial matrices, and their applications , 2012, SODA.
[28] Éva Tardos,et al. Approximation algorithms for classification problems with pairwise relationships: metric labeling and Markov random fields , 2002, JACM.
[29] Jehoshua Bruck,et al. Efficient Algorithms for Reconfiguration in VLSI/WSI Arrays , 1990, IEEE Trans. Computers.
[30] Christian Wulff-Nilsen,et al. Shortest Paths in Planar Graphs with Real Lengths in O(nlog2n/loglogn) Time , 2009, ESA.
[31] Alok Aggarwal,et al. Geometric applications of a matrix-searching algorithm , 1987, SCG '86.
[32] Greg N. Frederickson,et al. Fast Algorithms for Shortest Paths in Planar Graphs, with Applications , 1987, SIAM J. Comput..
[33] Shang-Hua Teng,et al. Electrical flows, laplacian systems, and faster approximation of maximum flow in undirected graphs , 2010, STOC '11.
[34] Philip N. Klein,et al. Faster Shortest-Path Algorithms for Planar Graphs , 1997, J. Comput. Syst. Sci..
[35] Subhash Suri,et al. Efficient Breakout Routing in Printed Circuit Boards (Extended Abstract) , 1997, WADS.
[36] Dorit S. Hochbaum,et al. The Pseudoflow Algorithm: A New Algorithm for the Maximum-Flow Problem , 2008, Oper. Res..
[37] Michael A. Bender,et al. The LCA Problem Revisited , 2000, LATIN.
[38] Hristo Djidjev,et al. On-Line Algorithms for Shortest Path Problems on Planar Digraphs , 1996, WG.
[39] Sairam Subramanian. Parallel and dynamic shortest-path algorithms for sparse graphs , 1995 .
[40] Philip N. Klein,et al. An O (n log n) algorithm for maximum st-flow in a directed planar graph , 2006, SODA '06.
[41] Mikkel Thorup,et al. Maintaining information in fully dynamic trees with top trees , 2003, TALG.
[42] Philip N. Klein,et al. A Fully Dynamic Approximation Scheme for Shortest Paths in Planar Graphs , 1998, Algorithmica.
[43] Andrew V. Goldberg,et al. Recent Developments in Maximum Flow Algorithms (Invited Lecture) , 1998, SWAT.
[44] Edsger W. Dijkstra,et al. A note on two problems in connexion with graphs , 1959, Numerische Mathematik.
[45] Jinhui Xu,et al. Shortest path queries in planar graphs , 2000, STOC '00.
[46] Mihai Patrascu,et al. Distance Oracles beyond the Thorup-Zwick Bound , 2014, SIAM J. Comput..
[47] Abraham P. Punnen,et al. A survey of very large-scale neighborhood search techniques , 2002, Discret. Appl. Math..
[48] Francis Y. L. Chin,et al. Escaping a Grid by Edge-Disjoint Paths , 2000, SODA '00.
[49] Gary L. Miller,et al. Finding Small Simple Cycle Separators for 2-Connected Planar Graphs , 1986, J. Comput. Syst. Sci..
[50] L. Heffter. Ueber das Problem der Nachbargebiete , 1891 .
[51] Mikkel Thorup. Compact oracles for reachability and approximate distances in planar digraphs , 2004, JACM.
[52] Robert E. Tarjan,et al. Making data structures persistent , 1986, STOC '86.
[53] Ian H. Jermyn,et al. Region extraction from multiple images , 2001, Proceedings Eighth IEEE International Conference on Computer Vision. ICCV 2001.
[54] Uzi Vishkin,et al. Recursive Star-Tree Parallel Data Structure , 1993, SIAM J. Comput..
[55] Ian H. Jermyn,et al. Globally Optimal Regions and Boundaries as Minimum Ratio Weight Cycles , 2001, IEEE Trans. Pattern Anal. Mach. Intell..
[56] D. Greig,et al. Exact Maximum A Posteriori Estimation for Binary Images , 1989 .
[57] Grammati E. Pantziou,et al. Improved Algorithms for Dynamic Shortest Paths , 2000, Algorithmica.
[58] Peter Elias,et al. A note on the maximum flow through a network , 1956, IRE Trans. Inf. Theory.
[59] Alberto Marchetti-Spaccamela,et al. Dynamic algorithms for shortest paths in planar graphs , 1991, Theor. Comput. Sci..
[60] Richard Bellman,et al. ON A ROUTING PROBLEM , 1958 .
[61] Michiel H. M. Smid,et al. Planar Spanners and Approximate Shortest Path Queries among Obstacles in the Plane , 1996, ESA.
[62] Joseph S. B. Mitchell,et al. On maximum flows in polyhedral domains , 1988, SCG '88.
[63] Ingemar J. Cox,et al. "Ratio regions": a technique for image segmentation , 1996, Proceedings of 13th International Conference on Pattern Recognition.
[64] Dorit S. Hochbaum,et al. An efficient algorithm for image segmentation, Markov random fields and related problems , 2001, JACM.
[65] Andrew V. Goldberg,et al. Beyond the flow decomposition barrier , 1998, JACM.
[66] David Eppstein,et al. Studying (non-planar) road networks through an algorithmic lens , 2008, GIS '08.
[67] Amos Fiat,et al. Highway dimension, shortest paths, and provably efficient algorithms , 2010, SODA '10.
[68] Samir Khuller,et al. The Lattice Structure of Flow in Planar Graphs , 1993, SIAM J. Discret. Math..
[69] Lukasz Kowalik,et al. Oracles for bounded-length shortest paths in planar graphs , 2006, TALG.
[70] T. E. Harris,et al. Fundamentals of a Method for Evaluating Rail Net Capacities , 1955 .
[71] D. R. Fulkerson,et al. Maximal Flow Through a Network , 1956 .
[72] Ivan Stojmenovic,et al. Routing with Guaranteed Delivery in Ad Hoc Wireless Networks , 1999, DIALM '99.
[73] Robert E. Tarjan,et al. Faster Scaling Algorithms for Network Problems , 1989, SIAM J. Comput..
[74] Jeff Erickson,et al. Maximum flows and parametric shortest paths in planar graphs , 2010, SODA '10.
[75] Francis Y. L. Chin,et al. A Faster Algorithm for Finding Disjoint Paths in Grids , 1999, ISAAC.
[76] Ken-ichi Kawarabayashi,et al. Linear-Space Approximate Distance Oracles for Planar, Bounded-Genus and Minor-Free Graphs , 2011, ICALP.
[77] R. Tarjan,et al. A Separator Theorem for Planar Graphs , 1977 .
[78] W. Wei-Ming Dai,et al. Single-layer fanout routing and routability analysis for ball grid arrays , 1995, Proceedings of IEEE International Conference on Computer Aided Design (ICCAD).
[79] Refael Hassin,et al. Maximum Flow in (s, t) Planar Networks , 1981, Inf. Process. Lett..
[80] D. Rose,et al. Generalized nested dissection , 1977 .
[81] Philip N. Klein,et al. Multiple-Source Single-Sink Maximum Flow in Directed Planar Graphs in O(diameter · n log n) Time , 2011, WADS.
[82] Gary L. Miller,et al. Flow in Planar Graphs with Multiple Sources and Sinks , 1995, SIAM J. Comput..
[83] David Eppstein. Dynamic Connectivity in Digital Images , 1997, Inf. Process. Lett..
[84] Daniel Cremers,et al. Efficient planar graph cuts with applications in Computer Vision , 2009, CVPR.
[85] Francis Y. L. Chin,et al. Efficient Algorithms for Finding the Maximum Number of Disjoint Paths in Grids , 2000, J. Algorithms.
[86] Robert E. Tarjan,et al. A data structure for dynamic trees , 1981, STOC '81.
[87] Glencora Borradaile,et al. Min st-cut Oracle for Planar Graphs with Near-Linear Preprocessing Time , 2010, 2010 IEEE 51st Annual Symposium on Foundations of Computer Science.
[88] Haim Kaplan,et al. Maximum Flow in Directed Planar Graphs with Vertex Capacities , 2010, Algorithmica.
[89] Mihai Patrascu,et al. Distance Oracles beyond the Thorup-Zwick Bound , 2010, 2010 IEEE 51st Annual Symposium on Foundations of Computer Science.
[90] Günter Rote,et al. Obnoxious centers in graphs , 2007, SODA '07.
[91] Robert E. Tarjan,et al. Scaling and related techniques for geometry problems , 1984, STOC '84.
[92] Lars Arge,et al. External Data Structures for Shortest Path Queries on Planar Digraphs , 2005, ISAAC.
[93] Yahav Nussbaum,et al. Improved Distance Queries in Planar Graphs , 2010, WADS.
[94] Olga Veksler,et al. Stereo Correspondence with Compact Windows via Minimum Ratio Cycle , 2002, IEEE Trans. Pattern Anal. Mach. Intell..
[95] C. Kuratowski. Sur le problème des courbes gauches en Topologie , 1930 .
[96] Philip N. Klein,et al. Multiple-source shortest paths in planar graphs , 2005, SODA '05.
[97] Andrew V. Goldberg,et al. Scaling algorithms for the shortest paths problem , 1995, SODA '93.
[98] Charles E. Leiserson,et al. Area-Efficient Graph Layouts (for VLSI) , 1980, FOCS.
[99] Erin W. Chambers,et al. Homology flows, cohomology cuts , 2009, STOC '09.
[100] Philip N. Klein,et al. Preprocessing an undirected planar network to enable fast approximate distance queries , 2002, SODA '02.
[101] David Eppstein,et al. Maintenance of a minimum spanning forest in a dynamic planar graph , 1990, SODA '90.
[102] John H. Reif,et al. Minimum s-t Cut of a Planar Undirected Network in O(n log2(n)) Time , 1983, SIAM J. Comput..
[103] L. R. Ford,et al. NETWORK FLOW THEORY , 1956 .
[104] Daniel J. Kleitman,et al. An Almost Linear Time Algorithm for Generalized Matrix Searching , 1990, SIAM J. Discret. Math..
[105] Alok Aggarwal,et al. Applications of generalized matrix searching to geometric algorithms , 1990, Discret. Appl. Math..
[106] A. Hoffman. ON SIMPLE LINEAR PROGRAMMING PROBLEMS , 2003 .
[107] Jeanette P. Schmidt,et al. All Highest Scoring Paths in Weighted Grid Graphs and Their Application to Finding All Approximate Repeats in Strings , 1998, SIAM J. Comput..
[108] Robert E. Tarjan,et al. Network Flow Algorithms , 1989 .
[109] A. Schrijver. On the History of Combinatorial Optimization (Till 1960) , 2005 .
[110] Piotr Sankowski,et al. Improved algorithms for min cut and max flow in undirected planar graphs , 2011, STOC '11.
[111] David Eppstein,et al. The Polyhedral Approach to the Maximum Planar Subgraph Problem: New Chances for Related Problems , 1994, GD.
[112] Elke A. Rundensteiner,et al. Hierarchical optimization of optimal path finding for transportation applications , 1996, CIKM '96.