On the Grobner Basis of the Toric Ideal for 3 X n- Contingency Tables

Hussein S. Mohammed Hussein; Abdulrahman H. Majeed

doi:10.24996/ijs.2019.60.6.19

On the Grobner Basis of the Toric Ideal for 3 X n- Contingency Tables

Authors

Hussein S. Mohammed Hussein Department of mathematics, College of science, University of Baghdad, Baghdad, Iraq
Abdulrahman H. Majeed Department of mathematics, College of science, University of Baghdad, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2019.60.6.19

Keywords:

Computational algebraic statistics, Toric ideal, Configuration matrix, Grobner basis, Reduced Grobner basis, Universal Grobner basis

Abstract

In this paper, The Grobner basis of the Toric Ideal for - contingency tables related with the Markov basis B introduced by Hussein S. MH, Abdulrahman H. M in 2018 is found. Also, the Grobner basis is a reduced and universal Grobner basis are shown.

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Published

2019-06-26

Issue

Vol 60 No 6 (2019)

Section

Mathematics

How to Cite

[1]

H. S. Mohammed Hussein and A. H. Majeed, “On the Grobner Basis of the Toric Ideal for 3 X n- Contingency Tables”, Iraqi Journal of Science, vol. 60, no. 6, pp. 1362–1366, Jun. 2019, doi: 10.24996/ijs.2019.60.6.19.