English

A note on X-rays of permutations and a problem of Brualdi and Fritscher

Combinatorics 2017-07-14 v1 Discrete Mathematics

Abstract

The subject of this note is a challenging conjecture about X-rays of permutations which is a special case of a conjecture regarding Skolem sequences. In relation to this, Brualdi and Fritscher [Linear Algebra and its Applications, 2014] posed the following problem: Determine a bijection between extremal Skolem sets and binary Hankel X-rays of permutation matrices. We give such a bijection, along with some related observations.

Keywords

Cite

@article{arxiv.1707.03928,
  title  = {A note on X-rays of permutations and a problem of Brualdi and Fritscher},
  author = {Gustav Nordh},
  journal= {arXiv preprint arXiv:1707.03928},
  year   = {2017}
}