English

Three observations on spectra of zero-nonzero patterns

Combinatorics 2017-05-25 v1

Abstract

Using standard techniques from combinatorics, model theory, and algebraic geometry, we prove generalized versions of several basic results in the theory of spectrally arbitrary matrix patterns. Also, we point out a counterexample to a conjecture proposed recently by McDonald and Melvin.

Keywords

Cite

@article{arxiv.1705.08765,
  title  = {Three observations on spectra of zero-nonzero patterns},
  author = {Yaroslav Shitov},
  journal= {arXiv preprint arXiv:1705.08765},
  year   = {2017}
}

Comments

note, 5 pages

R2 v1 2026-06-22T19:57:45.352Z