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Volumn 113, Issue 6, 2006, Pages 1072-1091

On the number of rectangulations of a planar point set

Author keywords

Baxter permutations; Guillotine partitions; Rectangular partitions; Rectangulations; Schr der numbers; Separable permutations

Indexed keywords


EID: 33745503207     PISSN: 00973165     EISSN: 10960899     Source Type: Journal    
DOI: 10.1016/j.jcta.2005.10.003     Document Type: Article
Times cited : (28)

References (26)
  • 1
    • 0009351065 scopus 로고
    • On pop-stacks in series
    • Avis D., and Newborn M. On pop-stacks in series. Util. Math. 19 (1981) 129-140
    • (1981) Util. Math. , vol.19 , pp. 129-140
    • Avis, D.1    Newborn, M.2
  • 2
    • 0001194185 scopus 로고    scopus 로고
    • Reverse search for enumeration
    • Avis D., and Fukuda K. Reverse search for enumeration. Discrete Appl. Math. 65 (1996) 21-46
    • (1996) Discrete Appl. Math. , vol.65 , pp. 21-46
    • Avis, D.1    Fukuda, K.2
  • 3
    • 84966235555 scopus 로고
    • On fixed points of the composite of commuting functions
    • Baxter G. On fixed points of the composite of commuting functions. Proc. Amer. Math. Soc. 15 (1964) 851-855
    • (1964) Proc. Amer. Math. Soc. , vol.15 , pp. 851-855
    • Baxter, G.1
  • 6
    • 1842600608 scopus 로고    scopus 로고
    • A tale on guillotine cut
    • Novel Approaches to Hard Discrete Optimization. Pardalos P.M., and Wolkowicz H. (Eds), Amer. Math. Soc.
    • Cardei M., Cheng X., Cheng X., and Du D.Z. A tale on guillotine cut. In: Pardalos P.M., and Wolkowicz H. (Eds). Novel Approaches to Hard Discrete Optimization. Fields Inst. Commun. vol. 37 (2003), Amer. Math. Soc. 41-54
    • (2003) Fields Inst. Commun. , vol.37 , pp. 41-54
    • Cardei, M.1    Cheng, X.2    Cheng, X.3    Du, D.Z.4
  • 9
    • 33745504212 scopus 로고    scopus 로고
    • D.Z. Du, L.Q. Pan, M.T. Shing, Minimum edge length guillotine rectangular partition, Technical Report MSRI 02418-86, University of California, Berkeley, CA, 1986
  • 10
    • 0000774781 scopus 로고    scopus 로고
    • Baxter permutations
    • Dulucq S., and Guibert O. Baxter permutations. Discrete Math. 180 (1998) 143-156
    • (1998) Discrete Math. , vol.180 , pp. 143-156
    • Dulucq, S.1    Guibert, O.2
  • 11
    • 84957809915 scopus 로고    scopus 로고
    • T.F. Gonzalez, S.-Q. Zheng, Bounds for partitioning rectilinear polygons, in: Proc. 1st ACM Symp. on Computational Geometry, Baltimore, MD, 1985, pp. 281-287
  • 12
    • 85016910124 scopus 로고
    • Improved bounds for rectangular and guillotine partitions
    • Gonzalez T.F., and Zheng S.-Q. Improved bounds for rectangular and guillotine partitions. J. Symbolic Comput. 7 (1989) 591-610
    • (1989) J. Symbolic Comput. , vol.7 , pp. 591-610
    • Gonzalez, T.F.1    Zheng, S.-Q.2
  • 13
    • 0025231055 scopus 로고
    • Approximation algorithms for partitioning a rectangle with interior points
    • Gonzalez T.F., and Zheng S.-Q. Approximation algorithms for partitioning a rectangle with interior points. Algorithmica 5 (1990) 11-42
    • (1990) Algorithmica , vol.5 , pp. 11-42
    • Gonzalez, T.F.1    Zheng, S.-Q.2
  • 14
    • 0034481271 scopus 로고    scopus 로고
    • X. Hong, G. Huang, Y. Cai, J. Gu, S. Dong, C.K. Cheng, J. Gu, Corner block list: An effective and efficient topological representation of non-slicing floorplan, in: Proc. IEEE/ACM Int. Conf. on Computer-Aided Design, San Jose, CA, 2000, pp. 8-12
  • 15
    • 84957811276 scopus 로고    scopus 로고
    • C. Levcopoulos, Fast heuristics for minimum length rectangular partitions of polygons, in: Proc. 2nd ACM Symp. on Computational Geometry, Yorktown Heights, NY, 1986, pp. 100-108
  • 16
    • 0020227929 scopus 로고    scopus 로고
    • A. Lingas, R.Y. Pinter, R.L. Rivest, A. Shamir, Minimum edge length rectilinear decompositions of rectilinear figures, in: Proc. 20th Allerton Conf. on Communication, Control, and Computing, Monticello, IL, 1982, pp. 53-63
  • 17
    • 0032667193 scopus 로고    scopus 로고
    • Guillotine subdivisions. Part II. A simple polynomial-time approximation scheme for geometric k-MST, TSP, and related problems
    • Mitchell J.S.B. Guillotine subdivisions. Part II. A simple polynomial-time approximation scheme for geometric k-MST, TSP, and related problems. SIAM J. Comput. 28 (1999) 1298-1309
    • (1999) SIAM J. Comput. , vol.28 , pp. 1298-1309
    • Mitchell, J.S.B.1
  • 18
    • 84979675579 scopus 로고    scopus 로고
    • J.I. Munro, Th. Papadakis, and R. Sedgewick, Deterministic skip lists, in: Proc. 3rd ACM-SIAM Symp. on Discrete Algorithms, Orlando, FL, 1992, pp. 367-375
  • 20
    • 0038706477 scopus 로고    scopus 로고
    • A better upper bound on the number of triangulations of a planar point set
    • Santos F., and Seidel R. A better upper bound on the number of triangulations of a planar point set. J. Combin. Theory Ser. A 102 (2003) 186-193
    • (2003) J. Combin. Theory Ser. A , vol.102 , pp. 186-193
    • Santos, F.1    Seidel, R.2
  • 21
    • 0000526470 scopus 로고
    • Bootstrap percolation, the Schröder numbers, and the N-Kings problem
    • Shapiro L., and Stephens A.B. Bootstrap percolation, the Schröder numbers, and the N-Kings problem. SIAM J. Discrete Math. 4 (1991) 275-280
    • (1991) SIAM J. Discrete Math. , vol.4 , pp. 275-280
    • Shapiro, L.1    Stephens, A.B.2
  • 23
    • 33745485489 scopus 로고    scopus 로고
    • N.J.A. Sloane (Ed.), The on-line encyclopedia of integer sequences, published electronically at
    • N.J.A. Sloane (Ed.), The on-line encyclopedia of integer sequences, published electronically at. http://www.research.att.com/~njas/sequences/
  • 25
    • 0000464149 scopus 로고
    • Generating trees and the Catalan and Schröder numbers
    • West J. Generating trees and the Catalan and Schröder numbers. Discrete Math. 146 (1995) 247-262
    • (1995) Discrete Math. , vol.146 , pp. 247-262
    • West, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.