{"date_updated":"2021-01-12T06:54:35Z","month":"05","author":[{"last_name":"Noren","first_name":"Patrik","full_name":"Noren, Patrik","id":"46870C74-F248-11E8-B48F-1D18A9856A87"}],"day":"01","publication":"Journal of Symbolic Computation","doi":"10.1016/j.jsc.2014.09.014","page":"285 - 296","type":"journal_article","main_file_link":[{"open_access":"1","url":"http://arxiv.org/abs/1207.0077"}],"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."}],"_id":"1997","language":[{"iso":"eng"}],"department":[{"_id":"CaUh"}],"issue":"May-June","citation":{"short":"P. Noren, Journal of Symbolic Computation 68/Part 2 (2015) 285–296.","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>","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.","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.","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>."},"date_published":"2015-05-01T00:00:00Z","publication_status":"published","scopus_import":1,"year":"2015","publisher":"Elsevier","date_created":"2018-12-11T11:55:07Z","publist_id":"5082","volume":"68/Part 2","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","oa":1,"status":"public","quality_controlled":"1","title":"The three-state toric homogeneous Markov chain model has Markov degree two"}