메뉴 건너뛰기




Volumn 57, Issue 3, 1996, Pages 129-135

Tight lower bounds for minimum weight triangulation heuristics

Author keywords

Computational geometry; Delaunay triangulation; Greedy triangulation; Minimum weight triangulation

Indexed keywords


EID: 0006892634     PISSN: 00200190     EISSN: None     Source Type: Journal    
DOI: 10.1016/0020-0190(95)00200-6     Document Type: Article
Times cited : (7)

References (14)
  • 1
    • 85032225490 scopus 로고
    • Which triangulations approximate the complete graph
    • it Proc. Internat. Symp. on Optimal Algorithms, Springer, Berlin
    • G. Das and D. Joseph, Which triangulations approximate the complete graph, in; it Proc. Internat. Symp. on Optimal Algorithms, Lecture Notes in Computer Science 401 (Springer, Berlin, 1989) 168-183.
    • (1989) Lecture Notes in Computer Science , vol.401 , pp. 168-183
    • Das, G.1    Joseph, D.2
  • 3
    • 0028713169 scopus 로고
    • New results for the minimum weight triangulation problem
    • L. Heath and S. Pemmaraju, New results for the minimum weight triangulation problem. Algorithmica 12 (1994) 533-552.
    • (1994) Algorithmica , vol.12 , pp. 533-552
    • Heath, L.1    Pemmaraju, S.2
  • 4
    • 0006938345 scopus 로고    scopus 로고
    • A note on Delaunay and optimal triangulations
    • 19800
    • D.G. Kirkpatrick, A note on Delaunay and optimal triangulations, Inform. Process. Lett. 10 (19800 127-128.
    • Inform. Process. Lett. , vol.10 , pp. 127-128
    • Kirkpatrick, D.G.1
  • 5
    • 0023367455 scopus 로고
    • An Ω(√n) lower bound for the nonoptimality of the greedy triangulation
    • C. Levcopoulos, An Ω(√n) lower bound for the nonoptimality of the greedy triangulation, Inform. Process. Lett. 25 (1987) 247-251.
    • (1987) Inform. Process. Lett. , vol.25 , pp. 247-251
    • Levcopoulos, C.1
  • 6
    • 0039765986 scopus 로고
    • The greedy triangulation can be computed from the Delaunay in linear time
    • Dept. of Computer Science, Lund University, Sweden
    • C. Levcopoulos and D. Krznaric, The greedy triangulation can be computed from the Delaunay in linear time, Tech. Rept. LU-CS-TR:94-136, Dept. of Computer Science, Lund University, Sweden, 1994.
    • (1994) Tech. Rept. LU-CS-TR:94-136
    • Levcopoulos, C.1    Krznaric, D.2
  • 7
    • 85029995073 scopus 로고
    • Quasi-greedy triangulations approximating the minimum weight triangulation
    • Dept. of Computer Science, Lund University, Sweden
    • C. Levcopoulos and D. Krznaric, Quasi-greedy triangulations approximating the minimum weight triangulation, Tech. Rept. LU-CS-TR:95-155, Dept. of Computer Science, Lund University, Sweden, 1995.
    • (1995) Tech. Rept. LU-CS-TR:95-155
    • Levcopoulos, C.1    Krznaric, D.2
  • 8
    • 0000024829 scopus 로고
    • A new heuristic for the minimum weight triangulation
    • A. Lingas, A new heuristic for the minimum weight triangulation, SIAM J. Algebraic Discrete Methods 8 (1987) 646-658.
    • (1987) SIAM J. Algebraic Discrete Methods , vol.8 , pp. 646-658
    • Lingas, A.1
  • 9
    • 85052097933 scopus 로고
    • On triangulations of a set of points in the plane
    • E.L. Lloyd, On triangulations of a set of points in the plane, in: Proc. 18th FOCS (1977) 228-240.
    • (1977) Proc. 18th FOCS , pp. 228-240
    • Lloyd, E.L.1
  • 10
    • 0001773747 scopus 로고
    • Neither the greedy nor the Delaunay triangulation of a planar point set approximates the optimal triangulation
    • G.K. Manacher and A.L. Zobrist, Neither the greedy nor the Delaunay triangulation of a planar point set approximates the optimal triangulation, Inform. Process. Lett. 9 (1979) 31-34.
    • (1979) Inform. Process. Lett. , vol.9 , pp. 31-34
    • Manacher, G.K.1    Zobrist, A.L.2
  • 11
    • 0000393305 scopus 로고
    • A heuristic triangulation algorithm
    • D.A. Plaisted and J. Hong, A heuristic triangulation algorithm, J. Algorithms 8 (1987) 405-437.
    • (1987) J. Algorithms , vol.8 , pp. 405-437
    • Plaisted, D.A.1    Hong, J.2
  • 14
    • 0004487889 scopus 로고
    • Compilation of data for computer-assisted relief cartography
    • J.C. Davis and M.J. McCullagh.eds., Wiley, New York
    • P. Yoeli, Compilation of data for computer-assisted relief cartography, in: J.C. Davis and M.J. McCullagh.eds., Display and Analysis of Spatial Data (Wiley, New York, 1975).
    • (1975) Display and Analysis of Spatial Data
    • Yoeli, P.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.