Markov random fields and iterated toric fibre products

Draisma, Jan; Oosterhof, Florian M. (2018). Markov random fields and iterated toric fibre products. Advances in applied mathematics, 97, pp. 64-79. Elsevier 10.1016/j.aam.2018.02.003

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We prove that iterated toric fibre products from a finite collection of toric varieties are defined by binomials of uniformly bounded degree. This implies that Markov random fields built up from a finite collection of finite graphs have uniformly bounded Markov degree.

Item Type:

Journal Article (Original Article)

Division/Institute:

08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics

UniBE Contributor:

Draisma, Jan

Subjects:

500 Science > 510 Mathematics

ISSN:

0196-8858

Publisher:

Elsevier

Language:

English

Submitter:

Olivier Bernard Mila

Date Deposited:

08 May 2019 10:24

Last Modified:

24 Oct 2019 23:35

Publisher DOI:

10.1016/j.aam.2018.02.003

BORIS DOI:

10.7892/boris.125492

URI:

https://boris.unibe.ch/id/eprint/125492

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