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Volumn Part F129447, Issue , 1996, Pages 252-260

Limit theorems for minimum-weight triangulations, other euclidean functionals, and probabilistic recurrence relations

Author keywords

Euclidean linear functionals; Limit theorems; Minimum weight triangulations

Indexed keywords

TRIANGULATION;

EID: 84897011967     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (7)

References (17)
  • 2
    • 0021628110 scopus 로고
    • On the average length of delaunay triangulations
    • R. C. Chang and R.C.T. Lee, "On the Average Length of Delaunay Triangulations," BIT, 24 (1984) 269-273.
    • (1984) BIT , vol.24 , pp. 269-273
    • Chang, R.C.1    Lee, R.C.T.2
  • 6
    • 0025383763 scopus 로고
    • A guided tour of chemoff bounds
    • Torben Hagerup and Christine Rub, "A Guided Tour of Chemoff Bounds," Information Processing Letters, 33 (1989/90) 305-308.
    • (1989) Information Processing Letters , vol.33 , pp. 305-308
    • Hagerup, T.1    Rub, C.2
  • 7
    • 0017523323 scopus 로고
    • Probabilistic analysis of partitioning algorithms for the travelling salesman problem in the plane
    • R. M. Karp, "Probabilistic Analysis of Partitioning Algorithms for the Travelling Salesman Problem in the Plane.," Math. Oper. Res., 2 (1977) 209-224.
    • (1977) Math. Oper. Res. , vol.2 , pp. 209-224
    • Karp, R.M.1
  • 8
    • 0002295039 scopus 로고
    • Probabilistic analysis of heuristics
    • (Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G., and Shmoys, D.B., ed.'s,) John Wiley and Sons, New York
    • Karp, R.M. and Steele, J.M. "Probabilistic Analysis of Heuristics," in The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization (Lawler, E.L., Lenstra, J.K., Rinnooy Kan, A.H.G., and Shmoys, D.B., ed.'s,) John Wiley and Sons, New York. 1985
    • (1985) The Traveling Salesman Problem: A Guided Tour of Combinatorial Optimization
    • Karp, R.M.1    Steele, J.M.2
  • 10
    • 84887058298 scopus 로고
    • Greedy triangulation approximates the minimum weight triangulation in the average case and can be computed in linear time in the average case
    • Springer-Verlag Lecture Notes in C.S. 497
    • C. Levcopoulos and A. Lingas, "Greedy Triangulation Approximates the Minimum Weight Triangulation in the Average Case and Can be Computed in Linear Time in the Average Case," Proceedings of the 3rd ICCI, Springer-Verlag Lecture Notes in C.S. 497, (1991), 139-148.
    • (1991) Proceedings of the 3rd ICCI , pp. 139-148
    • Levcopoulos, C.1    Lingas, A.2
  • 11
    • 0023039921 scopus 로고
    • The greedy and delaunay triangulations are not bad in the average case
    • A. Lingas, "The Greedy and Delaunay Triangulations are not Bad in the Average Case," Information Processing Letters, 22 (1986) 25-31.
    • (1986) Information Processing Letters , vol.22 , pp. 25-31
    • Lingas, A.1
  • 12
    • 0001888582 scopus 로고
    • Ueber die konvexe hulle von n zufallig gewahlten punkten, I
    • A. Renyi and R. Sulanke, "Ueber die konvexe hulle von n zufallig gewahlten punkten, I," Z. Wahrschien, 2 (1963) 75-84.
    • (1963) Z. Wahrschien , vol.2 , pp. 75-84
    • Renyi, A.1    Sulanke, R.2
  • 14
    • 0001838523 scopus 로고
    • Subadditive linear functionals and nonlinear growth in geometric probability
    • J. M. Steele, "Subadditive Linear Functionals and Nonlinear Growth in Geometric Probability," The Annals of Probability, 9 (1981) 365-376.
    • (1981) The Annals of Probability , vol.9 , pp. 365-376
    • Steele, J.M.1
  • 15
    • 0010848671 scopus 로고
    • Optimal triangulation of random samples in the plane
    • J. M. Steele, "Optimal Triangulation of Random Samples in the Plane," The Annals of Probability, 10 (1982) 548-553.
    • (1982) The Annals of Probability , vol.10 , pp. 548-553
    • Steele, J.M.1
  • 16
    • 0000907076 scopus 로고
    • On the number of leaves of A euclidean minimal spanning tree
    • J. M. Steele, L. A. Shepp, and W. F. Eddy, "On the Number of Leaves of A Euclidean Minimal Spanning Tree," J. Applied Probability, 24 (1987) 806-829.
    • (1987) J. Applied Probability , vol.24 , pp. 806-829
    • Steele, J.M.1    Shepp, L.A.2    Eddy, W.F.3
  • 17
    • 0003680507 scopus 로고
    • Probabilistic and worst case analyses of classical problems of combinatorial optimization in euclidean space
    • November
    • J. M. Steele, "Probabilistic and Worst Case Analyses of Classical Problems of Combinatorial Optimization in Euclidean Space," Mathematics of Operation Research, 15(4) (November 1990) 749-770.
    • (1990) Mathematics of Operation Research , vol.15 , Issue.4 , pp. 749-770
    • Steele, J.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.