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Average Maximal Vectors in d-Space by lcdbateria is a document available to read on EtoBox.

This paper derives a recurrence relation to compute the average number of maximal vectors in a set of n d-dimensional vectors, showing that the average is O((ln n)^(d-1)) for fixed d. The authors present an algorithm with expected linear running time for finding all maximal vectors and apply their findings to establish an upper bound on the expected number of convex hull points in random point sets. The results contribute to the analysis of algorithms and dynamic programming applications.

Author

lcdbateria

Language

EN