Exact Expectation and Variance of Minimal Basis of Random Matroids

We formulate and prove a formula to compute the expected value of the minimal random basis of an arbitrary finite matroid whose elements are assigned weights which are independent and uniformly distributed on the interval [0, 1]. This method yields an exact formula in terms of the Tutte polynomial....

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Bibliographic Details
Main Authors: Kordecki Wojciech, Lyczkowska-Hanćkowiak Anna
Format: Article
Language:English
Published: Sciendo 2013-05-01
Series:Discussiones Mathematicae Graph Theory
Subjects:
Online Access:https://doi.org/10.7151/dmgt.1662