VC-Dimension of Sets of Permutations

被引:0
作者
Ran Raz
机构
[1] Department of Applied Mathematics,
[2] Weizmann Institute; Rehovot 76100,undefined
[3] ISRAEL; E-mail: ranraz@wisdom.weizmann.ac.il,undefined
来源
Combinatorica | 2000年 / 20卷
关键词
AMS Subject Classification (1991) Classes:  05A05, 05A16, 05A20;
D O I
暂无
中图分类号
学科分类号
摘要
of a set of permutations \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} to be the maximal k such that there exist distinct \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} that appear in A in all possible linear orders, that is, every linear order of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} is equivalent to the standard order of \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document} for at least one permutation \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}\end{document}.
引用
收藏
页码:241 / 255
页数:14
相关论文
empty
未找到相关数据