English

Circuits and circulant minors

Combinatorics 2019-02-11 v1

Abstract

Circulant contraction minors play a key role for characterizing ideal circular matrices in terms of minimally non ideal structures. In this article we prove necessary and sufficient conditions for a circular matrix AA to have circulant contraction minors in terms of circuits in a digraph associated with AA. In the particular case when AA itself is a circulant matrix, our result provides an alternative characterization to the one previously known from the literature.

Keywords

Cite

@article{arxiv.1902.03115,
  title  = {Circuits and circulant minors},
  author = {Silvia Bianchi and Graciela Nasini and Paola Tolomei and Luis Miguel Torres},
  journal= {arXiv preprint arXiv:1902.03115},
  year   = {2019}
}

Comments

8 pages, 1 figure

R2 v1 2026-06-23T07:35:46.667Z