메뉴 건너뛰기




Volumn 32, Issue 2, 2004, Pages 177-194

Euclidean bounded-degree spanning tree ratios

Author keywords

[No Author keywords available]

Indexed keywords


EID: 4344634500     PISSN: 01795376     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00454-004-1117-3     Document Type: Conference Paper
Times cited : (29)

References (20)
  • 1
    • 0032156828 scopus 로고    scopus 로고
    • Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems
    • S. Arora. Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems. J. Assoc. Comput. Mach., 45:753-782, 1998.
    • (1998) J. Assoc. Comput. Mach. , vol.45 , pp. 753-782
    • Arora, S.1
  • 2
    • 4544261402 scopus 로고    scopus 로고
    • Approximation schemes for NP-hard geometric optimization problems: A survey
    • S. Arora. Approximation schemes for NP-hard geometric optimization problems: a survey. Math. Programming, 97:27-42, 2003.
    • (2003) Math. Programming , vol.97 , pp. 27-42
    • Arora, S.1
  • 3
    • 35248826365 scopus 로고    scopus 로고
    • Approximation schemes for degree-restricted MST and red-blue separation problem
    • Lecture Notes in Computer Science, Springer-Verlag, Berlin
    • S. Arora and K. C. Chang. Approximation schemes for degree-restricted MST and red-blue separation problem. In Proc. 13th Internat. Colloq. Automata, Languages, and Programming, Lecture Notes in Computer Science, vol. 2719, Springer-Verlag, Berlin, pages 176-188, 2003.
    • (2003) Proc. 13th Internat. Colloq. Automata, Languages, and Programming , vol.2719 , pp. 176-188
    • Arora, S.1    Chang, K.C.2
  • 4
    • 0005369097 scopus 로고    scopus 로고
    • Approximation algorithms for geometric problems
    • D. S. Hochbaum (ed.), PWS, Boston, MA
    • M. Bern and D. Eppstein. Approximation algorithms for geometric problems. In D. S. Hochbaum (ed.), Approximation Algorithms for NP-Hard Problems, PWS, Boston, MA, pages 296-345, 1997.
    • (1997) Approximation Algorithms for NP-Hard Problems , pp. 296-345
    • Bern, M.1    Eppstein, D.2
  • 5
    • 0003522094 scopus 로고
    • Worst-case analysis of a new heuristic for the traveling salesman problem
    • Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA
    • N. Christofides. Worst-case analysis of a new heuristic for the traveling salesman problem. Tech. Report 388, Graduate School of Industrial Administration, Carnegie Mellon University, Pittsburgh, PA, 1975.
    • (1975) Tech. Report , vol.388
    • Christofides, N.1
  • 7
    • 52449144884 scopus 로고
    • A proof of the Gilbert-Pollak conjecture on the Steiner ratio
    • D.-Z. Du and F. K. Hwang. A proof of the Gilbert-Pollak conjecture on the Steiner ratio. Algorithmica, 7:121-136, 1992.
    • (1992) Algorithmica , vol.7 , pp. 121-136
    • Du, D.-Z.1    Hwang, F.K.2
  • 8
    • 0000786253 scopus 로고    scopus 로고
    • Spanning trees and spanners
    • J.-R. Sack and J. Urrutia (eds.), Elsevier North-Holland, Amsterdam
    • D. Eppstein. Spanning trees and spanners. In J.-R. Sack and J. Urrutia (eds.), Handbook of Computational Geometry, Elsevier North-Holland, Amsterdam, pages 425-461, 2000.
    • (2000) Handbook of Computational Geometry , pp. 425-461
    • Eppstein, D.1
  • 10
    • 0034381182 scopus 로고    scopus 로고
    • On minimum stars and maximum matchings
    • S. P. Fekete and H. Meijer. On minimum stars and maximum matchings. Discrete Comput. Geom., 23:389-407, 2000.
    • (2000) Discrete Comput. Geom. , vol.23 , pp. 389-407
    • Fekete, S.P.1    Meijer, H.2
  • 11
  • 12
    • 0033724233 scopus 로고    scopus 로고
    • A matter of degree: Improved approximation algorithms for degree-bounded minimum spanning trees
    • J. Könemann and R. Ravi. A matter of degree: improved approximation algorithms for degree-bounded minimum spanning trees. In Proc. 32nd ACM Sympos. Theory of Computing, pages 537-546, 2000.
    • (2000) Proc. 32nd ACM Sympos. Theory of Computing , pp. 537-546
    • Könemann, J.1    Ravi, R.2
  • 14
    • 0032667193 scopus 로고    scopus 로고
    • Guillotine subdivisions approximate polygonal subdivisions: A simple polynomial-time approximation scheme for geometric TSP, k-MST, and related problems
    • J. S. B. Mitchell. Guillotine subdivisions approximate polygonal subdivisions: a simple polynomial-time approximation scheme for geometric TSP, k-MST, and related problems. SIAM J. Comput., 28:1298-1309, 1999.
    • (1999) SIAM J. Comput. , vol.28 , pp. 1298-1309
    • Mitchell, J.S.B.1
  • 15
    • 21144470704 scopus 로고
    • Transitions in geometric minimum spanning trees
    • C. Monma and S. Suri. Transitions in geometric minimum spanning trees. Discrete Comput. Geom., 8:265-293, 1992.
    • (1992) Discrete Comput. Geom. , vol.8 , pp. 265-293
    • Monma, C.1    Suri, S.2
  • 16
    • 0037854822 scopus 로고
    • On two geometric problems related to the traveling salesman problem
    • C. H. Papadimitriou and U. V. Vazirani. On two geometric problems related to the traveling salesman problem. J. Algorithms, 5:231-246, 1984.
    • (1984) J. Algorithms , vol.5 , pp. 231-246
    • Papadimitriou, C.H.1    Vazirani, U.V.2
  • 17
    • 0038535671 scopus 로고    scopus 로고
    • Algorithms for finding low-degree structures
    • D. S. Hochbaum (ed.), PWS, Boston, MA
    • B. Raghavachari. Algorithms for finding low-degree structures. In D. S. Hochbaum (ed.), Approximation Algorithms for NP-Hard Problems, PWS, Boston, MA, pages 266-295, 1997.
    • (1997) Approximation Algorithms for NP-hard Problems , pp. 266-295
    • Raghavachari, B.1
  • 18
    • 0037708035 scopus 로고    scopus 로고
    • Approximation algorithms for degree-constrained minimum-cost network-design problems
    • R. Ravi, M. V. Marathe, S. S. Ravi, D. J. Rosenkrantz, and H. B. Hunt III. Approximation algorithms for degree-constrained minimum-cost network-design problems. Algorithmica, 31:58-78, 2001.
    • (2001) Algorithmica , vol.31 , pp. 58-78
    • Ravi, R.1    Marathe, M.V.2    Ravi, S.S.3    Rosenkrantz, D.J.4    Hunt III, H.B.5
  • 19
    • 5244350263 scopus 로고
    • Low-degree minimum spanning trees
    • G. Robins and J. S. Salowe. Low-degree minimum spanning trees. Discrete Comput. Geom., 14:151-165, 1995.
    • (1995) Discrete Comput. Geom. , vol.14 , pp. 151-165
    • Robins, G.1    Salowe, J.S.2
  • 20
    • 0001235540 scopus 로고
    • An analysis of several heuristics for the traveling salesman problem
    • D. J. Rosenkrantz, R. E. Stearns, and P. M. Lewis. An analysis of several heuristics for the traveling salesman problem. SIAM J. Comput., 6:563-581, 1977.
    • (1977) SIAM J. Comput. , vol.6 , pp. 563-581
    • Rosenkrantz, D.J.1    Stearns, R.E.2    Lewis, P.M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.