论文信息 - On expected number of maximal points in polytopes - 字舞流文

On expected number of maximal points in polytopes

We answer an old question: what are possible growth rates of the expected number of vector-maximal points in a uniform sample from a polytope.

Yu. Baryshnikov

[1] Christian Buchta,et al. On the Average Number of Maxima in a Set of Vectors , 1989, Inf. Process. Lett..

[2] Mordecai J. Golin. Maxima in convex regions , 1993, SODA '93.

[3] 곽순섭,et al. Generalized Functions , 2006, Theoretical and Mathematical Physics.

[4] H. T. Kung,et al. On the Average Number of Maxima in a Set of Vectors and Applications , 1978, JACM.

[5] Kenneth L. Clarkson,et al. Fast linear expected-time algorithms for computing maxima and convex hulls , 1993, SODA '90.

[6] Mordecai J. Golin. How Many Maxima Can There Be? , 1992, Comput. Geom..

[7] O. Barndorfi-nielsen,et al. On the distribution of the number of admissible points in a vector , 1966 .

[8] Luc Devroye. A Note on Finding Convex Hulls Via Maximal Vectors , 1980, Inf. Process. Lett..