Article ID Journal Published Year Pages File Type
4655701 Journal of Combinatorial Theory, Series A 2011 7 Pages PDF
Abstract

Given a primitive positive integer vector a, the Frobenius number F(a) is the largest integer that cannot be represented as a non-negative integral combination of the coordinates of a. We show that for large instances the order of magnitude of the expected Frobenius number is (up to a constant depending only on the dimension) given by its lower bound.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics