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Volumn 51, Issue 6, 2004, Pages 993-1024

Compact oracles for reachability and approximate distances in planar digraphs

Author keywords

Planar graphs; Reachability and shortest paths oracles

Indexed keywords

DISCRETE STRUCTURES; NONNUMERICAL ALGORITHMS; PLANAR GRAPHS; REACHABILITY AND SHORTEST PATHS ORACLES;

EID: 20444502118     PISSN: 00045411     EISSN: None     Source Type: Journal    
DOI: 10.1145/1039488.1039493     Document Type: Article
Times cited : (270)

References (33)
  • 1
    • 84958059397 scopus 로고    scopus 로고
    • Planar spanners and approximate shortest path queries among obstacles in the plane
    • (Barcelona, Spain). Lecture Notes in Computer Science, Springer-Verlag, New York
    • ARIKATI, S., CHEN, D., CHEW, L., DAS, G., SMID, M., AND ZAROLIAGIS, C. 1996. Planar spanners and approximate shortest path queries among obstacles in the plane. In Proceedings of the 4th European Symposium on Algorithms (Barcelona, Spain). Lecture Notes in Computer Science, vol. 1136. Springer-Verlag, New York, 514-528.
    • (1996) Proceedings of the 4th European Symposium on Algorithms , vol.1136 , pp. 514-528
    • Arikati, S.1    Chen, D.2    Chew, L.3    Das, G.4    Smid, M.5    Zaroliagis, C.6
  • 4
    • 84896796047 scopus 로고    scopus 로고
    • Efficient algorithms for shortest path queries in planar digraphs
    • (Como, Italy). Lecture Notes in Computer Science, Springer-Verlag, New York
    • DJIDIEV, H. 1996. Efficient algorithms for shortest path queries in planar digraphs. In Proceedings of the 22nd International Workshop on Graph-Theoretic Concepts in Computer Science (Como, Italy). Lecture Notes in Computer Science, vol. 1197. Springer-Verlag, New York, 151-165.
    • (1996) Proceedings of the 22nd International Workshop on Graph-theoretic Concepts in Computer Science , vol.1197 , pp. 151-165
    • Djidiev, H.1
  • 6
    • 84947911170 scopus 로고
    • Fast algorithms for maintaining shortest paths in outerplanar and planar digraphs
    • Lecture Notes in Computer Science, Springer-Verlag, New York
    • DJIDJEV, H., PANZIOU, G., AND ZAROLIAGIS, C. 1995. Fast algorithms for maintaining shortest paths in outerplanar and planar digraphs. In Proceeding of 10th International Symposium on Fundamentals of Computation Theory. Lecture Notes in Computer Science, vol. 965. Springer-Verlag, New York, 191-200.
    • (1995) Proceeding of 10th International Symposium on Fundamentals of Computation Theory , vol.965 , pp. 191-200
    • Djidjev, H.1    Panziou, G.2    Zaroliagis, C.3
  • 7
    • 0023537148 scopus 로고
    • Fast algorithms for shortest paths in planar graphs, with applications
    • FREDERICKSON, G. 1987. Fast algorithms for shortest paths in planar graphs, with applications. SIAM J. Comput. 16, 1004-1022.
    • (1987) SIAM J. Comput. , vol.16 , pp. 1004-1022
    • Frederickson, G.1
  • 9
    • 0001345696 scopus 로고
    • A separator theorem for graphs of bounded genus
    • GILBERT, J. R., HUTCHINSON, J. P., AND TARJAN, R. 1984. A separator theorem for graphs of bounded genus. J. Algorithms 5, 391-407.
    • (1984) J. Algorithms , vol.5 , pp. 391-407
    • Gilbert, J.R.1    Hutchinson, J.P.2    Tarjan, R.3
  • 12
  • 13
    • 0021426157 scopus 로고
    • Fast algorithms for finding nearest common ancestor
    • HAREL, D., AND TARJAN, R. 1984. Fast algorithms for finding nearest common ancestor. SIAM J. Comput. 13, 338-355.
    • (1984) SIAM J. Comput. , vol.13 , pp. 338-355
    • Harel, D.1    Tarjan, R.2
  • 17
    • 80052798911 scopus 로고    scopus 로고
    • Preprocessing an undirected planar network to enable fast approximate distance queries
    • (San Francisco, Calif.). ACM, New York
    • KLEIN, P. 2002. Preprocessing an undirected planar network to enable fast approximate distance queries. In Proceedings of the 13th Annual ACM-SIAM Symposium on Discrete Algorithms (San Francisco, Calif.). ACM, New York, 820-827.
    • (2002) Proceedings of the 13th Annual ACM-SIAM Symposium on Discrete Algorithms , pp. 820-827
    • Klein, P.1
  • 18
    • 0006543215 scopus 로고    scopus 로고
    • A fully dynamic approximation scheme for shortest path problems in planar graphs
    • KLEIN, P., AND SUBRAMANIAN, S. 1998. A fully dynamic approximation scheme for shortest path problems in planar graphs. Algorithmica 23, 235-249.
    • (1998) Algorithmica , vol.23 , pp. 235-249
    • Klein, P.1    Subramanian, S.2
  • 19
    • 0018457301 scopus 로고
    • A separator theorem for planar graphs
    • LIPTON, R., AND TARJAN, R. 1979. A separator theorem for planar graphs. SIAM J. Appl. Math. 36, 177-189.
    • (1979) SIAM J. Appl. Math. , vol.36 , pp. 177-189
    • Lipton, R.1    Tarjan, R.2
  • 20
    • 23044518508 scopus 로고    scopus 로고
    • Informative labeling schemes for graphs
    • (Bratislava, Slovak Republik). Lecture Notes in Computer Science, Springer-Verlag, New York
    • PELEG, D. 2000a. Informative labeling schemes for graphs. In Proceedings of the 25th Mathematical Foundations of Computer Science (Bratislava, Slovak Republik). Lecture Notes in Computer Science, vol. 1893. Springer-Verlag, New York, 579-588.
    • (2000) Proceedings of the 25th Mathematical Foundations of Computer Science , vol.1893 , pp. 579-588
    • Peleg, D.1
  • 21
    • 0034423261 scopus 로고    scopus 로고
    • Proximity-preserving labeling schemes
    • PELEG, D. 2000b. Proximity-preserving labeling schemes. J. Graph Theory 33, 167-176.
    • (2000) J. Graph Theory , vol.33 , pp. 167-176
    • Peleg, D.1
  • 22
    • 0002856269 scopus 로고
    • Graph minors V: Excluding a planar graph
    • ROBERTSON, N., AND SEYMOUR, P. S. 1986. Graph minors V: Excluding a planar graph. J. Combin. Theory, Ser. B 41, 1, 92-114.
    • (1986) J. Combin. Theory, Ser. B , vol.41 , Issue.1 , pp. 92-114
    • Robertson, N.1    Seymour, P.S.2
  • 23
    • 0141538200 scopus 로고    scopus 로고
    • Graph minors XVI: Excluding a non-planar graph
    • ROBERTSON, N., AND SEYMOUR, P. S. 2003. Graph minors XVI: Excluding a non-planar graph. J. Combin. Theory, Ser. B 89, 1, 43-76.
    • (2003) J. Combin. Theory, Ser. B , vol.89 , Issue.1 , pp. 43-76
    • Robertson, N.1    Seymour, P.S.2
  • 24
    • 0022013653 scopus 로고
    • Labelling and implicit routing in networks
    • SANTORO, N., AND KHATIB, R. 1985. Labelling and implicit routing in networks. Comput. J. 28, 1, 5-8.
    • (1985) Comput. J. , vol.28 , Issue.1 , pp. 5-8
    • Santoro, N.1    Khatib, R.2
  • 25
    • 85029421315 scopus 로고
    • A fully dynamic data structure for reachability in planar digraphs
    • (Bad Honnef, Germany). Lecture Notes in Computer Science, Springer-Verlag, New York
    • SUBRAMANIAN, S. 1993. A fully dynamic data structure for reachability in planar digraphs. In Proceedings of the 1st European Symposium on Algorithms (Bad Honnef, Germany). Lecture Notes in Computer Science, vol. 726. Springer-Verlag, New York, 372-383.
    • (1993) Proceedings of the 1st European Symposium on Algorithms , vol.726 , pp. 372-383
    • Subramanian, S.1
  • 26
    • 0027677547 scopus 로고
    • Dynamic reachability in planar digraphs with one source and one sink
    • TAMASSIA, R., AND TOLLIS, I. 1993. Dynamic reachability in planar digraphs with one source and one sink. Theoret. Comput. Sci. 119, 331-343.
    • (1993) Theoret. Comput. Sci. , vol.119 , pp. 331-343
    • Tamassia, R.1    Tollis, I.2
  • 27
    • 84974085874 scopus 로고
    • Shortcutting planar digraphs
    • THORUP, M. 1995. Shortcutting planar digraphs. Combin., Prob. Comput. 4, 287-315.
    • (1995) Combin., Prob. Comput. , vol.4 , pp. 287-315
    • Thorup, M.1
  • 28
    • 0000778521 scopus 로고    scopus 로고
    • Undirected single-source shortest paths with positive integer weights in linear time
    • THORUP, M. 1999. Undirected single-source shortest paths with positive integer weights in linear time. J. ACM 46, 362-394.
    • (1999) J. ACM , vol.46 , pp. 362-394
    • Thorup, M.1
  • 29
    • 0034456287 scopus 로고    scopus 로고
    • On RAM priority queues
    • THORUP, M. 2000. On RAM priority queues. SIAM J. Comput. 30, 1, 86-109.
    • (2000) SIAM J. Comput. , vol.30 , Issue.1 , pp. 86-109
    • Thorup, M.1
  • 32
    • 0002804540 scopus 로고
    • Computer networks with compact routing tables
    • G. Rozenberg and A. Salomaa, Eds. Springer-Verlag, New York
    • VAN LEEUWEN, J., AND TAN, R. 1986. Computer networks with compact routing tables. In The book of L, G. Rozenberg and A. Salomaa, Eds. Springer-Verlag, New York, 259-273.
    • (1986) The Book of L , pp. 259-273
    • Van Leeuwen, J.1    Tan, R.2
  • 33
    • 0000890375 scopus 로고
    • Heapsort
    • WILLIAMS, J. 1964. Heapsort. Commun. ACM 7, 5, 347-348.
    • (1964) Commun. ACM , vol.7 , Issue.5 , pp. 347-348
    • Williams, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.