English

Nonsymmetric normal entry patterns with the maximum number of distinct indeterminates

Combinatorics 2015-06-12 v1

Abstract

We prove that a nonsymmetric normal entry pattern of order nn (n3n\ge 3) has at most n(n3)/2+3n(n-3)/2+3 distinct indeterminates and up to permutation similarity this number is attained by a unique pattern which is explicitly described.

Keywords

Cite

@article{arxiv.1506.03514,
  title  = {Nonsymmetric normal entry patterns with the maximum number of distinct indeterminates},
  author = {Zejun Huang and Xingzhi Zhan},
  journal= {arXiv preprint arXiv:1506.03514},
  year   = {2015}
}
R2 v1 2026-06-22T09:51:29.184Z