Asymptotics of power-weighted Euclidean functionals

Sungchul Lee

Stochastic Processes and their Applications, 1999, vol. 79, issue 1, 109-116

Abstract: Let {Xi: i[greater-or-equal, slanted]1} be i.i.d. points in , d[greater-or-equal, slanted]2, and let LMM({X1,...,Xn},p), LMST({X1,...,Xn},p), LTSP({X1,...,Xn},p), be the length of the minimal matching, the minimal spanning tree, the traveling salesman problem, respectively, on {X1,...,Xn} with weight function w(e)=ep. If the common distribution satisfies certain regularity conditions, then the strong law of large numbers for the above three Euclidean functionals, 1[less-than-or-equals, slant]p

Keywords: Minimal; matching; Minimal; spanning; tree; Traveling; salesman; problem (search for similar items in EconPapers)
Date: 1999
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Citations: View citations in EconPapers (3)

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