---
_id: '1997'
abstract:
- lang: eng
  text: We prove that the three-state toric homogeneous Markov chain model has Markov
    degree two. In algebraic terminology this means, that a certain class of toric
    ideals is generated by quadratic binomials. This was conjectured by Haws, Martin
    del Campo, Takemura and Yoshida, who proved that they are generated by degree
    six binomials.
article_processing_charge: No
arxiv: 1
author:
- first_name: Patrik
  full_name: Noren, Patrik
  id: 46870C74-F248-11E8-B48F-1D18A9856A87
  last_name: Noren
citation:
  ama: Noren P. The three-state toric homogeneous Markov chain model has Markov degree
    two. <i>Journal of Symbolic Computation</i>. 2015;68/Part 2(May-June):285-296.
    doi:<a href="https://doi.org/10.1016/j.jsc.2014.09.014">10.1016/j.jsc.2014.09.014</a>
  apa: Noren, P. (2015). The three-state toric homogeneous Markov chain model has
    Markov degree two. <i>Journal of Symbolic Computation</i>. Elsevier. <a href="https://doi.org/10.1016/j.jsc.2014.09.014">https://doi.org/10.1016/j.jsc.2014.09.014</a>
  chicago: Noren, Patrik. “The Three-State Toric Homogeneous Markov Chain Model Has
    Markov Degree Two.” <i>Journal of Symbolic Computation</i>. Elsevier, 2015. <a
    href="https://doi.org/10.1016/j.jsc.2014.09.014">https://doi.org/10.1016/j.jsc.2014.09.014</a>.
  ieee: P. Noren, “The three-state toric homogeneous Markov chain model has Markov
    degree two,” <i>Journal of Symbolic Computation</i>, vol. 68/Part 2, no. May-June.
    Elsevier, pp. 285–296, 2015.
  ista: Noren P. 2015. The three-state toric homogeneous Markov chain model has Markov
    degree two. Journal of Symbolic Computation. 68/Part 2(May-June), 285–296.
  mla: Noren, Patrik. “The Three-State Toric Homogeneous Markov Chain Model Has Markov
    Degree Two.” <i>Journal of Symbolic Computation</i>, vol. 68/Part 2, no. May-June,
    Elsevier, 2015, pp. 285–96, doi:<a href="https://doi.org/10.1016/j.jsc.2014.09.014">10.1016/j.jsc.2014.09.014</a>.
  short: P. Noren, Journal of Symbolic Computation 68/Part 2 (2015) 285–296.
corr_author: '1'
date_created: 2018-12-11T11:55:07Z
date_published: 2015-05-01T00:00:00Z
date_updated: 2025-09-23T14:17:34Z
day: '01'
department:
- _id: CaUh
doi: 10.1016/j.jsc.2014.09.014
external_id:
  arxiv:
  - '1207.0077'
  isi:
  - '000347767600016'
isi: 1
issue: May-June
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: http://arxiv.org/abs/1207.0077
month: '05'
oa: 1
oa_version: Preprint
page: 285 - 296
publication: Journal of Symbolic Computation
publication_status: published
publisher: Elsevier
publist_id: '5082'
quality_controlled: '1'
scopus_import: '1'
status: public
title: The three-state toric homogeneous Markov chain model has Markov degree two
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 68/Part 2
year: '2015'
...