Classification of families of pr- and epr-sequences

Xavier Martínez-Rivera

doi:10.1080/03081087.2016.1248345

Classification of families of pr- and epr-sequences

Combinatorics 2018-04-19 v2

Authors: Xavier Martínez-Rivera

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Abstract

This paper establishes new restrictions for attainable enhanced principal rank characteristic sequences (epr-sequences). These results are then used to classify two related families of sequences that are attainable by a real symmetric matrix: the family of principal rank characteristic sequences (pr-sequences) not containing three consecutive $1$ s and the family of epr-sequences which contain an $\tt{N}$ in every subsequence of length $3$ .

Keywords

principal rank characteristic sequences enhanced principal rank characteristic sequences real symmetric matrix classification pr-sequences epr-sequences combinatorial restrictions

Cite

@article{arxiv.1606.07495,
  title  = {Classification of families of pr- and epr-sequences},
  author = {Xavier Martínez-Rivera},
  journal= {arXiv preprint arXiv:1606.07495},
  year   = {2018}
}

Comments

21 pages. The Version of Record of this manuscript has been published and is available in Linear and Multilinear Algebra (since October 26, 2016) at http://www.tandfonline.com/10.1080/03081087.2016.1248345

Classification of families of pr- and epr-sequences

Abstract

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