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Volumn 40, Issue 1, 2008, Pages 1-21

Short-length routes in low-cost networks via Poisson line patterns

Author keywords

Buffon argument; Excess statistic; Mark distribution; Poisson line process; Probabilistic method; Ratio statistic; Slivynak theorem; Spatial network; Steiner tree; Total variation distance; Vasershtein coupling

Indexed keywords

ASYMPTOTIC ANALYSIS; BOUNDARY CONDITIONS; POISSON DISTRIBUTION; STATISTICS;

EID: 44649144589     PISSN: 00018678     EISSN: None     Source Type: Journal    
DOI: 10.1239/aap/1208358883     Document Type: Article
Times cited : (26)

References (11)
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  • 3
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    • KOVALENKO, I. N. (1997). A proof of a conjecture of David Kendall on the shape of random polygons of large area. Kibernet. Sistem. Anal. 1997, 187 (in Russian). English translation: Cybernet. Systems Anal. 33, 461-467.
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    • KOVALENKO, I. N. (1999). A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons. J. Appl. Math. Stoch. Anal. 12, 301-310.
    • KOVALENKO, I. N. (1999). A simplified proof of a conjecture of D. G. Kendall concerning shapes of random polygons. J. Appl. Math. Stoch. Anal. 12, 301-310.
  • 5
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    • Conformal invariance of planar loop-erased random walks and uniform spanning trees
    • LAWLER, G. F., SCHRAMM, O. AND WERNER, W. (2004). Conformal invariance of planar loop-erased random walks and uniform spanning trees. Ann. Prob. 32, 939-995.
    • (2004) Ann. Prob , vol.32 , pp. 939-995
    • LAWLER, G.F.1    SCHRAMM, O.2    WERNER, W.3
  • 6
    • 44649084772 scopus 로고    scopus 로고
    • MILES, R. E. (1995). A heuristic proof of a long-standing conjecture of D. G. Kendall concerning the shapes of certain large random polygons. Adv. Appl. Prob. 27, 397-417.
    • MILES, R. E. (1995). A heuristic proof of a long-standing conjecture of D. G. Kendall concerning the shapes of certain large random polygons. Adv. Appl. Prob. 27, 397-417.
  • 7
    • 28844436887 scopus 로고    scopus 로고
    • Minimum spanning trees and random resistor networks in d dimensions
    • READ, N. (2005). Minimum spanning trees and random resistor networks in d dimensions. Phys. Rev. E 72, 036114.
    • (2005) Phys. Rev. E , vol.72 , pp. 036114
    • READ, N.1
  • 8
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    • Optimization of road networks using evolutionary strategies
    • SCHWEITZER, F., EBELING, W., ROSE, H. AND WEISS, O. (1998). Optimization of road networks using evolutionary strategies. Evolutionary Comput. 5, 419-438.
    • (1998) Evolutionary Comput , vol.5 , pp. 419-438
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  • 9
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    • STEELE, J. M. (1997). Probability Theory and Combinatorial Optimization (CBMS-NSF Regional Conf. Ser. Appl. Math. 69). Society for Industrial and Applied Mathematics, Philadelphia, PA.
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    • YUKICH, J. E. (1998). Probability Theory of Classical Euclidean Optimization Problems (Lecture Notes Math. 1675). Springer, Berlin.
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.