More on the generalized macaulay theorem — II |
| |
Authors: | GF Clements |
| |
Institution: | University of Colorado, Boulder, CO 80302, U.S.A. |
| |
Abstract: | Let k1 ? k2? ? ? kn be given positive integers and let S denote the set of vectors x = (x1, x2, … ,xn) with integer components satisfying 0 ? x1 ? kni = 1, 2, …, n. Let X be a subset of S (l)X denotes the subset of X consisting of vectors with component sum l; F(m, X) denotes the lexicographically first m vectors of X; ?X denotes the set of vectors in S obtainable by subtracting 1 from a component of a vector in X; |X| is the number of vectors in X. In this paper it is shown that |?F(e, (l)S)| is an increasing function of l for fixed e and is a subadditive function of e for fixed l. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|