Алгоритм поиска кратчайших путей между всеми парами в разреженных графах: различия между версиями

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== Литература ==
== Литература ==
1. Aho, A.V., Hopcroft, J.E., Ullman, J.D.: The design and analysis of computer algorithms. Addison-Wesley, Reading (1975)
1. Aho, A.V., Hopcroft, J.E., Ullman, J.D.: The design and analysis of computer algorithms. Addison-Wesley, Reading (1975)
2. Bast, H., Funke, S., Matijevic, D., Sanders, P., Schultes, D.: In transit to constant shortest-path queries in road networks. In: Proc. 9th Workshop on Algorithm Engineering and Experiments (ALENEX), 2007
2. Bast, H., Funke, S., Matijevic, D., Sanders, P., Schultes, D.: In transit to constant shortest-path queries in road networks. In: Proc. 9th Workshop on Algorithm Engineering and Experiments (ALENEX), 2007
3. Chan, T.:  More algorithms for all-pairs  shortest  paths  in weighted graphs. In: Proc. 39th ACM Symposium on Theory of Computing (STOC), 2007, pp. 590-598
3. Chan, T.:  More algorithms for all-pairs  shortest  paths  in weighted graphs. In: Proc. 39th ACM Symposium on Theory of Computing (STOC), 2007, pp. 590-598
4. Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms. MIT Press, Cambridge (2001)
4. Cormen, T.H., Leiserson, C.E., Rivest, R.L., Stein, C.: Introduction to Algorithms. MIT Press, Cambridge (2001)
5. Demetrescu, C., Goldberg, A.V., Johnson, D.: 9th  DIMACS Implementation challenge - shortest paths. http://www.dis.uniroma1.it/~challenge9/(2006)
5. Demetrescu, C., Goldberg, A.V., Johnson, D.: 9th  DIMACS Implementation challenge - shortest paths. http://www.dis.uniroma1.it/~challenge9/(2006)
6. Fredman, M.L.: New bounds on the complexity of the shortest path problem. SIAM J. Comput. 5(1), 83-89 (1976)
6. Fredman, M.L.: New bounds on the complexity of the shortest path problem. SIAM J. Comput. 5(1), 83-89 (1976)
7. Garey,  M.R.,  Johnson,  D.S.:  Computers  and  Intractability: a guide to NP-Completeness. Freeman, San Francisco (1979)
7. Garey,  M.R.,  Johnson,  D.S.:  Computers  and  Intractability: a guide to NP-Completeness. Freeman, San Francisco (1979)
8. Goldberg, A.V.: AVG Lab. http://www.avglab.com/andrew/
8. Goldberg, A.V.: AVG Lab. http://www.avglab.com/andrew/
9. Goldberg, A.V.: Shortest path algorithms: Engineering aspects. In: Proc. 12th Int'l Symp. on Algorithms and Computation (ISAAC). LNCS, vol. 2223, pp. 502-513. Springer, Berlin (2001)
9. Goldberg, A.V.: Shortest path algorithms: Engineering aspects. In: Proc. 12th Int'l Symp. on Algorithms and Computation (ISAAC). LNCS, vol. 2223, pp. 502-513. Springer, Berlin (2001)
10. Goldberg, A.V., Kaplan, H., Werneck, R.: Reach for A*: efficient point-to-point shortest path algorithms. In: Proc. 8th Workshop on Algorithm Engineering and Experiments (ALENEX), 2006
10. Goldberg, A.V., Kaplan, H., Werneck, R.: Reach for A*: efficient point-to-point shortest path algorithms. In: Proc. 8th Workshop on Algorithm Engineering and Experiments (ALENEX), 2006
11. Knopp, S., Sanders, P., Schultes, D., Schulz, F., Wagner, D.: Computing many-to-many shortest paths using highway hierarchies. In: Proc. 9th Workshop on Algorithm Engineering and Experiments (ALENEX), 2007
11. Knopp, S., Sanders, P., Schultes, D., Schulz, F., Wagner, D.: Computing many-to-many shortest paths using highway hierarchies. In: Proc. 9th Workshop on Algorithm Engineering and Experiments (ALENEX), 2007
12. Pettie, S.: On the comparison-addition complexity of all-pairs shortest paths. In: Proc. 13th Int'l Symp. on Algorithms and Computation (ISAAC), 2002, pp. 32-43
12. Pettie, S.: On the comparison-addition complexity of all-pairs shortest paths. In: Proc. 13th Int'l Symp. on Algorithms and Computation (ISAAC), 2002, pp. 32-43
13. Pettie, S.: A new approach to all-pairs shortest paths on real-weighted graphs.Theor. Comput. Sci. 312(1), 47-74 (2004)
13. Pettie, S.: A new approach to all-pairs shortest paths on real-weighted graphs.Theor. Comput. Sci. 312(1), 47-74 (2004)
14. Pettie, S., Ramachandran, V.: Minimizing randomness in minimum spanning tree, parallel connectivity and set maxima algorithms. In: Proc. 13th ACM-SIAM Symp. on Discrete Algorithms (SODA), 2002, pp. 713-722
14. Pettie, S., Ramachandran, V.: Minimizing randomness in minimum spanning tree, parallel connectivity and set maxima algorithms. In: Proc. 13th ACM-SIAM Symp. on Discrete Algorithms (SODA), 2002, pp. 713-722
15. Pettie, S., Ramachandran, V.: A shortest path algorithm for real-weighted undirected graphs. SIAM J. Comput. 34(6), 1398-1431 (2005)
15. Pettie, S., Ramachandran, V.: A shortest path algorithm for real-weighted undirected graphs. SIAM J. Comput. 34(6), 1398-1431 (2005)
16. Pettie, S., Ramachandran, V., Sridhar, S.: Experimental evaluation of a new shortest path algorithm. In: Proc. 4th Workshop on Algorithm Engineering and Experiments (ALENEX), 2002, pp. 126-142
16. Pettie, S., Ramachandran, V., Sridhar, S.: Experimental evaluation of a new shortest path algorithm. In: Proc. 4th Workshop on Algorithm Engineering and Experiments (ALENEX), 2002, pp. 126-142
17. Thorup, M.: Undirected single-source shortest paths with positive integer weights in linear time. J. ACM 46(3), 362-394 (1999)
17. Thorup, M.: Undirected single-source shortest paths with positive integer weights in linear time. J. ACM 46(3), 362-394 (1999)
18. Venkataraman, G., Sahni,S., Mukhopadhyaya, S.: A blocked all-pairs shortest paths algorithm. J. Exp. Algorithms 8 (2003)
18. Venkataraman, G., Sahni,S., Mukhopadhyaya, S.: A blocked all-pairs shortest paths algorithm. J. Exp. Algorithms 8 (2003)
19. Zwick, U.: Exact and approximate distances in graphs - a survey. In: Proc. 9th European Symposium on Algorithms (ESA), 2001, pp. 33-48. See updated version at http://www.cs.tau.ac.il/~zwick/
19. Zwick, U.: Exact and approximate distances in graphs - a survey. In: Proc. 9th European Symposium on Algorithms (ESA), 2001, pp. 33-48. See updated version at http://www.cs.tau.ac.il/~zwick/
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