메뉴 건너뛰기




Volumn , Issue , 2011, Pages 1131-1145

Persistent predecessor search and orthogonal point location on the word RAM

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL GEOMETRY; DATA STRUCTURES; SPACE APPLICATIONS; SPACE PLATFORMS; TREES (MATHEMATICS);

EID: 79955709227     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1137/1.9781611973082.85     Document Type: Conference Paper
Times cited : (26)

References (61)
  • 3
    • 77954923304 scopus 로고    scopus 로고
    • Orthogonal range reporting: Query lower bounds, optimal structures in 3-d, and higher dimensional improvements
    • P. Afshani, L. Arge, and K. D. Larsen. Orthogonal range reporting: query lower bounds, optimal structures in 3-d, and higher dimensional improvements. In Proc. 26th ACM Sympos. Comput. Geom., pages 240-246.
    • Proc. 26th ACM Sympos. Comput. Geom. , pp. 240-246
    • Afshani, P.1    Arge, L.2    Larsen, K.D.3
  • 4
    • 0030352797 scopus 로고    scopus 로고
    • Linear algorithms for partitioning embedded graphs of bounded genus
    • L. Aleksandrov and H. Djidjev. Linear algorithms for partitioning embedded graphs of bounded genus. SIAM J. Discrete Math., 9:129-150, 1996. (Pubitemid 126579840)
    • (1996) SIAM Journal on Discrete Mathematics , vol.9 , Issue.1 , pp. 129-150
    • Aleksandrov, L.1    Djidjev, H.2
  • 8
    • 0242269930 scopus 로고    scopus 로고
    • Efficient regular data structures and algorithms for dilation, location, and proximity problems
    • A. Amir, A. Efrat, P. Indyk, and H. Samet. Efficient regular data structures and algorithms for dilation, location, and proximity problems. Algorithmica, 30:164-187, 2001. (Pubitemid 33710361)
    • (2001) Algorithmica (New York) , vol.30 , Issue.2 , pp. 164-187
    • Amir, A.1    Efrat, A.2    Indyk, P.3    Samet, H.4
  • 9
    • 0030383550 scopus 로고    scopus 로고
    • Faster deterministic sorting and searching in linear space
    • A. Andersson. Faster deterministic sorting and searching in linear space. In Proc. 37th IEEE Sympos. Found. Comput. Sci., pages 135-141, 1996.
    • (1996) Proc. 37th IEEE Sympos. Found. Comput. Sci. , pp. 135-141
    • Andersson, A.1
  • 10
    • 34250363189 scopus 로고    scopus 로고
    • Dynamic ordered sets with exponential search trees
    • A. Andersson and M. Thorup. Dynamic ordered sets with exponential search trees. J. ACM, 54(3):13, 2007.
    • (2007) J. ACM , vol.54 , Issue.3 , pp. 13
    • Andersson, A.1    Thorup, M.2
  • 11
    • 23844490875 scopus 로고    scopus 로고
    • Optimal bounds for the predecessor problem and related problems
    • P. Beame and F. Fich. Optimal bounds for the predecessor problem and related problems. J. Comput. Sys. Sci., 65:38-72, 2002.
    • (2002) J. Comput. Sys. Sci. , vol.65 , pp. 38-72
    • Beame, P.1    Fich, F.2
  • 13
    • 84869180878 scopus 로고    scopus 로고
    • Exponential structures for efficient cache-oblivious algorithms
    • Lect. Notes Comput. Sci., Springer-Verlag
    • M. A. Bender, R. Cole, and R. Raman. Exponential structures for efficient cache-oblivious algorithms. In Proc. 29th Int. Colloq. Automata, Languages, and Programming, Lect. Notes Comput. Sci., vol. 2380, Springer-Verlag, pages 195-207, 2002.
    • (2002) Proc. 29th Int. Colloq. Automata, Languages, and Programming , vol.2380 , pp. 195-207
    • Bender, M.A.1    Cole, R.2    Raman, R.3
  • 14
    • 0006042934 scopus 로고    scopus 로고
    • Linear size binary space partitions for uncluttered scenes
    • M. de Berg. Linear size binary space partitions for uncluttered scenes. Algorithmica, 28:353-366, 2000.
    • (2000) Algorithmica , vol.28 , pp. 353-366
    • De Berg, M.1
  • 16
    • 0042164776 scopus 로고
    • Two-dimensional and three-dimensional point location in rectangular subdivisions
    • M. de Berg, M. van Kreveld, and J. Snoeyink. Two-dimensional and three-dimensional point location in rectangular subdivisions. J. Algorithms, 18:256-277, 1995.
    • (1995) J. Algorithms , vol.18 , pp. 256-277
    • De Berg, M.1    Van Kreveld, M.2    Snoeyink, J.3
  • 17
    • 0347156620 scopus 로고    scopus 로고
    • Toward Optimal ε-Approximate Nearest Neighbor Algorithms
    • DOI 10.1006/jagm.2001.1193
    • M. Cary. Towards optimal ε-approximate nearest neighbor algorithms. J. Algorithms, 41:417-428, 2001. (Pubitemid 33665549)
    • (2001) Journal of Algorithms , vol.41 , Issue.2 , pp. 417-428
    • Cary, M.1
  • 19
    • 79955746442 scopus 로고    scopus 로고
    • Transdichotomous results in computational geometry, II: Offline search
    • submitted, Preliminary version appeared in Proc. 39th ACM Sympos. Theory Comput
    • T. M. Chan and M. Pǎtraşcu. Transdichotomous results in computational geometry, II: Offline search. ACM Trans. Algorithms, submitted. Preliminary version appeared in Proc. 39th ACM Sympos. Theory Comput., pages 31-39, 2007.
    • (2007) ACM Trans. Algorithms , pp. 31-39
    • Chan, T.M.1    Pǎtraşcu, M.2
  • 20
    • 77953128587 scopus 로고    scopus 로고
    • Transdichotomous results in computational geometry, I: Point location in sublogarithmic time
    • T. M. Chan and M. Pǎtraşcu. Transdichotomous results in computational geometry, I: Point location in sublogarithmic time. SIAM J. Comput., 39:703-729, 2009.
    • (2009) SIAM J. Comput. , vol.39 , pp. 703-729
    • Chan, T.M.1    Pǎtraşcu, M.2
  • 21
    • 77951680652 scopus 로고    scopus 로고
    • Counting inversions, offline orthogonal range counting, and related problems
    • T. M. Chan and M. Pǎtraşcu. Counting inversions, offline orthogonal range counting, and related problems. In Proc. 21st ACM-SIAM Sympos. Discrete Algorithms, pages 161-173, 2010.
    • (2010) Proc. 21st ACM-SIAM Sympos. Discrete Algorithms , pp. 161-173
    • Chan, T.M.1    Pǎtraşcu, M.2
  • 22
    • 0022767762 scopus 로고
    • FILTERING SEARCH: A NEW APPROACH TO QUERY-ANSWERING.
    • B. Chazelle. Filtering search: a new approach to query-answering. SIAM J. Comput., 15:703-724, 1986. (Pubitemid 16634090)
    • (1986) SIAM Journal on Computing , vol.15 , Issue.3 , pp. 703-724
    • Chazelle Bernard1
  • 23
    • 51249179364 scopus 로고
    • Triangulating a simple polygon in linear time
    • B. Chazelle. Triangulating a simple polygon in linear time. Discrete Comput. Geom., 6:485-524, 1991.
    • (1991) Discrete Comput. Geom. , vol.6 , pp. 485-524
    • Chazelle, B.1
  • 24
    • 0001702902 scopus 로고
    • Applications of random sampling in computational geometry, II
    • K. L. Clarkson and P. W. Shor. Applications of random sampling in computational geometry, II. Discrete Comput. Geom., 4:387-421, 1989.
    • (1989) Discrete Comput. Geom. , vol.4 , pp. 387-421
    • Clarkson, K.L.1    Shor, P.W.2
  • 27
    • 85031939875 scopus 로고
    • Fully persistent arrays
    • Lect. Notes Comput. Sci., Springer-Verlag
    • P. F. Dietz. Fully persistent arrays. In Proc. 1st Workshop Algorithms Data Struct., Lect. Notes Comput. Sci., vol. 382, Springer-Verlag, pages 67-74, 1989.
    • (1989) Proc. 1st Workshop Algorithms Data Struct. , vol.382 , pp. 67-74
    • Dietz, P.F.1
  • 28
    • 84925118447 scopus 로고
    • Persistence, amortization and randomization
    • Full version in Tech. Report 353, Computer Science Department, University of Rochester, 1990
    • P. F. Dietz and R. Raman. Persistence, amortization and randomization. In Proc. 2nd ACM-SIAM Sympos. Discrete Algorithms, pages 78-88, 1991. Full version in Tech. Report 353, Computer Science Department, University of Rochester, 1990.
    • (1991) Proc. 2nd ACM-SIAM Sympos. Discrete Algorithms , pp. 78-88
    • Dietz, P.F.1    Raman, R.2
  • 32
    • 1642338460 scopus 로고    scopus 로고
    • Binary Space Partitions for Axis-Parallel Segments, Rectangles, and Hyperrectangles
    • DOI 10.1007/s00454-003-0729-3
    • A. Dumitrescu, J. S. B. Mitchell, and M. Sharir. Binary space partitions for axis-parallel segments, rectangles, and hyperrectangles. Discrete Comput. Geom., 31:207-227, 2004. (Pubitemid 38389604)
    • (2004) Discrete and Computational Geometry , vol.31 , Issue.2 , pp. 207-227
    • Dumitrescu, A.1    Mitchell, J.S.B.2    Sharir, M.3
  • 33
    • 0002484064 scopus 로고
    • Preserving order in a forest in less than logarithmic time and linear space
    • P. van Emde Boas. Preserving order in a forest in less than logarithmic time and linear space. Inform. Process. Lett., 6:80-82, 1977.
    • (1977) Inform. Process. Lett. , vol.6 , pp. 80-82
    • Van Emde Boas, P.1
  • 36
    • 0022162576 scopus 로고
    • Data structures for on-line updating of minimum spanning trees
    • G. N. Frederickson. Data structures for on-line updating of minimum spanning trees. SIAM J. Comput., 14:781-798, 1985.
    • (1985) SIAM J. Comput. , vol.14 , pp. 781-798
    • Frederickson, G.N.1
  • 37
    • 0023537148 scopus 로고
    • Fast algorithms for shortest paths in planar graphs, with applications
    • G. N. Frederickson. Fast algorithms for shortest paths in planar graphs, with applications. SIAM J. Comput., 16:1004-1022, 1987.
    • (1987) SIAM J. Comput. , vol.16 , pp. 1004-1022
    • Frederickson, G.N.1
  • 38
    • 0000743608 scopus 로고
    • Surpassing the information theoretic bound with fusion trees
    • M. L. Fredman and D. E. Willard. Surpassing the information theoretic bound with fusion trees. J. Comput. Sys. Sci., 47:424-436, 1993.
    • (1993) J. Comput. Sys. Sci. , vol.47 , pp. 424-436
    • Fredman, M.L.1    Willard, D.E.2
  • 39
    • 0028459904 scopus 로고
    • Trans-dichotomous algorithms for minimum spanning trees and shortest paths
    • DOI 10.1016/S0022-0000(05)80064-9
    • M. L. Fredman and D. E. Willard. Trans-dichotomous algorithms for minimum spanning trees and shortest paths. J. Comput. Sys. Sci., 48:533-551, 1994. (Pubitemid 124013302)
    • (1994) Journal of Computer and System Sciences , vol.48 , Issue.3 , pp. 533-551
    • Fredman, M.L.1
  • 40
    • 0029512809 scopus 로고
    • Planar separators and parallel polygon triangulation
    • M. T. Goodrich. Planar separators and parallel polygon triangulation. J. Comput. Sys. Sci., 51:374-389, 1995.
    • (1995) J. Comput. Sys. Sci. , vol.51 , pp. 374-389
    • Goodrich, M.T.1
  • 41
    • 0038309345 scopus 로고    scopus 로고
    • Deterministic Dictionaries
    • DOI 10.1006/jagm.2001.1171
    • T. Hagerup, P. B. Miltersen and R. Pagh. Deterministic dictionaries. J. Algorithms, 41:69-85, 2001. (Pubitemid 33667217)
    • (2001) Journal of Algorithms , vol.41 , Issue.1 , pp. 69-85
    • Hagerup, T.1    Miltersen, P.B.2    Pagh, R.3
  • 42
    • 0346640464 scopus 로고    scopus 로고
    • Deterministic sorting in O (n √log log n) time and linear space
    • Y. Han. Deterministic sorting in O (n √log log n) time and linear space. J. Algorithms, 50:96-105, 2004.
    • (2004) J. Algorithms , vol.50 , pp. 96-105
    • Han, Y.1
  • 43
    • 0036954324 scopus 로고    scopus 로고
    • Integer sorting in O(n√log log n) expected time and linear space
    • Y. Han and M. Thorup. Integer sorting in O(n√log log n) expected time and linear space. In Proc. 43rd IEEE Sympos. Found. Comput. Sci., pages 135-144, 2002.
    • (2002) Proc. 43rd IEEE Sympos. Found. Comput. Sci. , pp. 135-144
    • Han, Y.1    Thorup, M.2
  • 44
    • 29344451452 scopus 로고    scopus 로고
    • Binary space partitions of orthogonal subdivisions
    • DOI 10.1137/S0097539704445706
    • J. Hershberger, S. Suri, and C. D. Tóth. Binary space partitions of orthogonal subdivisions. SIAM J. Comput., 34:1380-1397, 2005. (Pubitemid 43003147)
    • (2005) SIAM Journal on Computing , vol.34 , Issue.6 , pp. 1380-1397
    • Hershberger, J.1    Suri, S.2    Toth, C.D.3
  • 45
    • 38749095705 scopus 로고    scopus 로고
    • Dynamic point location in fat hyperrectangles with integer coordinates
    • J. Iacono and S. Langerman. Dynamic point location in fat hyperrectangles with integer coordinates. In Proc. 12th Canad. Conf. Comput. Geom., pages 181- 186, 2000.
    • (2000) Proc. 12th Canad. Conf. Comput. Geom. , pp. 181-186
    • Iacono, J.1    Langerman, S.2
  • 46
    • 85034662285 scopus 로고
    • A sparse table implementation of priority queues
    • Lect. Notes Comput. Sci., Springer-Verlag
    • A. Itai, A. Konheim, and M. Rodeh. A sparse table implementation of priority queues. In Proc. 8th Int. Colloq. Automata, Languages, and Programming, Lect. Notes Comput. Sci., vol. 115, Springer-Verlag, pages 417-431, 1981.
    • (1981) Proc. 8th Int. Colloq. Automata, Languages, and Programming , vol.115 , pp. 417-431
    • Itai, A.1    Konheim, A.2    Rodeh, M.3
  • 47
    • 67650321001 scopus 로고    scopus 로고
    • Persistent data structures
    • (D. Mehta and S. Sahni, eds.), CRC Press
    • H. Kaplan. Persistent data structures. In Handbook on Data Structures and Applications (D. Mehta and S. Sahni, eds.), CRC Press, 2005.
    • (2005) Handbook on Data Structures and Applications
    • Kaplan, H.1
  • 48
    • 76249128679 scopus 로고    scopus 로고
    • Space efficient multidimensional range reporting
    • Lect. Notes Comput. Sci., Springer-Verlag
    • M. Karpinski and Y. Nekrich. Space efficient multidimensional range reporting. In Proc. 15th Int. Conf. Comput. Comb., Lect. Notes Comput. Sci., vol. 5609, Springer-Verlag, pages 215-224, 2009.
    • (2009) Proc. 15th Int. Conf. Comput. Comb. , vol.5609 , pp. 215-224
    • Karpinski, M.1    Nekrich, Y.2
  • 49
    • 0002429537 scopus 로고
    • Optimal search in planar subdivisions
    • D. G. Kirkpatrick. Optimal search in planar subdivisions. SIAM J. Comput., 12:28-35, 1983.
    • (1983) SIAM J. Comput. , vol.12 , pp. 28-35
    • Kirkpatrick, D.G.1
  • 51
    • 35348914306 scopus 로고    scopus 로고
    • A data structure for multi-dimensional range reporting
    • DOI 10.1145/1247069.1247130, Proceedings of the Twenty-third Annual Symposium on Computational Geometry, SCG'07
    • Y. Nekrich. A data structure for multi-dimensional range reporting. In Proc. 23rd ACM Sympos. Comput. Geom., pages 344-353, 2007. (Pubitemid 47582081)
    • (2007) Proceedings of the Annual Symposium on Computational Geometry , pp. 344-353
    • Nekrich, Y.1
  • 53
    • 38249015964 scopus 로고
    • Optimal binary space partitions for orthogonal objects
    • M. S. Paterson and F. F. Yao. Optimal binary space partitions for orthogonal objects. J. Algorithms, 13:99-113, 1992.
    • (1992) J. Algorithms , vol.13 , pp. 99-113
    • Paterson, M.S.1    Yao, F.F.2
  • 54
    • 77952418830 scopus 로고    scopus 로고
    • Unifying the landscape of cell-probe lower bounds
    • submitted. Also in Proc. 49th IEEE Sympos. Found. Comput. Sci.
    • M. Pǎtraşcu. Unifying the landscape of cell-probe lower bounds. SIAM J. Comput., submitted. Also in Proc. 49th IEEE Sympos. Found. Comput. Sci., pages 434-443, 2008.
    • (2008) SIAM J. Comput. , pp. 434-443
    • Pǎtraşcu, M.1
  • 57
    • 0028466006 scopus 로고
    • An optimal algorithm for the on-line closest-pair problem
    • C. Schwarz, M. H. M. Smid, and J. Snoeyink. An optimal algorithm for the on-line closest-pair problem. Algorithmica, 12:18-29, 1994.
    • (1994) Algorithmica , vol.12 , pp. 18-29
    • Schwarz, C.1    Smid, M.H.M.2    Snoeyink, J.3
  • 58
    • 84976669340 scopus 로고
    • Planar point location using persistent search trees
    • D. D. Sleator and R. E. Tarjan. Planar point location using persistent search trees. Commun. ACM, 29:669-679, 1986.
    • (1986) Commun. ACM , vol.29 , pp. 669-679
    • Sleator, D.D.1    Tarjan, R.E.2
  • 59
    • 0002038483 scopus 로고    scopus 로고
    • Point location
    • (J. E. Goodman and J. O'Rourke, eds.), CRC Press, Boca Raton, FL
    • J. Snoeyink. Point location. In Handbook of Discrete and Computational Geometry (J. E. Goodman and J. O'Rourke, eds.), CRC Press, Boca Raton, FL, pages 559-574, 1997.
    • (1997) Handbook of Discrete and Computational Geometry , pp. 559-574
    • Snoeyink, J.1
  • 60
    • 55249121650 scopus 로고    scopus 로고
    • Binary space partitions for axis-aligned fat rectangles
    • G. loth. Binary space partitions for axis-aligned fat rectangles. SIAM J. Comput., 38:429-447, 2008.
    • (2008) SIAM J. Comput. , vol.38 , pp. 429-447
    • Loth, G.1
  • 61
    • 0020802573 scopus 로고
    • Log-logarithmic worst case range queries are possible in space G(n)
    • D. E. Willard. Log-logarithmic worst case range queries are possible in space G(n). Inform. Process. Lett.. 17:81-84, 1983.
    • (1983) Inform. Process. Lett. , vol.17 , pp. 81-84
    • Willard, D.E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.