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    ALGORITHMICA
    2006
    84views more  ALGORITHMICA 2006»
    Large Deviations for the Weighted Height of an Extended Class of Trees
    13 years 5 months ago
    Large Deviations for the Weighted Height of an Extended Class of Trees
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    We use large deviations to prove a general theorem on the asymptotic edge-weighted height Hn of a large class of random trees for which Hn c log n for some positive constant c. A...
    Nicolas Broutin, Luc Devroye
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    ACTA
    2008
    88views more  ACTA 2008»
    Weighted height of random trees
    13 years 4 months ago
    Weighted height of random trees
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    We consider a model of random trees similar to the split trees of Devroye [30] in which a set of items is recursively partitioned. Our model allows for more flexibility in the cho...
    Nicolas Broutin, Luc Devroye, Erin McLeish
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    CPC
    2008
    74views more  CPC 2008»
    An Analysis of the Height of Tries with Random Weights on the Edges
    13 years 5 months ago
    An Analysis of the Height of Tries with Random Weights on the Edges
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    We analyze the weighted height of random tries built from independent strings of i.i.d. symbols on the finite alphabet {1, . . . , d}. The edges receive random weights whose distr...
    Nicolas Broutin, Luc Devroye
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    ALGORITHMICA
    2010
    147views more  ALGORITHMICA 2010»
    Note on the Structure of Kruskal's Algorithm
    13 years 5 months ago
    Note on the Structure of Kruskal's Algorithm
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    We study the merging process when Kruskal's algorithm is run with random graphs as inputs. Our aim is to analyze this process when the underlying graph is the complete graph ...
    Nicolas Broutin, Luc Devroye, Erin McLeish
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    SIAMDM
    1998
    65views more  SIAMDM 1998»
    A Greedy Algorithm Estimating the Height of Random Trees
    13 years 5 months ago
    A Greedy Algorithm Estimating the Height of Random Trees
    Download  www.ima.umn.edu
    Tomasz Luczak
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