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Cohen-Macaulay binomial edge ideals

Published online by Cambridge University Press:  11 January 2016

Viviana Ene ,
Jürgen Herzog  and
Takayuki Hibi
Viviana Ene
Affiliation:
Faculty of Mathematics and Computer Science, Ovidius University, 900527 Constanta, [email protected]
Jürgen Herzog
Affiliation:
Fachbereich Mathematik, Universität Duisburg-Essen, Campus Essen, 45117 Essen, [email protected]
Takayuki Hibi
Affiliation:
Department of Pure and Applied Mathematics, Graduate School of Information Science and Technology, Osaka University, Osaka 560-0043, [email protected]
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Abstract

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We study the depth of classes of binomial edge ideals and classify all closed graphs whose binomial edge ideal is Cohen-Macaulay.

Keywords

13C0513C1413C1505E4005C25
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 204 , December 2011 , pp. 57 - 68
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2011

References

[1] Bayer, D., Charalambous, H., and Popescu, S., Extremal Betti numbers and applications to monomial ideals, J. Algebra 221 (1999), 497–512.Google Scholar
[2] Dirac, G. A., On rigid circuit graphs, Abh. Math. Semin. Univ. Hambg. 38 (1961), 71–76.CrossRefGoogle Scholar
[3] Fröberg, R., “On Stanley-Reisner rings” in Topics in Algebra, Polish Scientific Publishers, Warsaw, 1990, 57–70.Google Scholar
[4] Herzog, J. and Hibi, T., Monomial Ideals, Grad. Texts in Math. 260, Springer, London, 2010.Google Scholar
[5] Herzog, J., Hibi, T., Hreinsdotir, F., Kahle, T., and Rauh, J., Binomial edge ideals and conditional independence statements, Adv. in Appl. Math. 45 (2010), 317–333.Google Scholar
[6] Ohtani, M., Graphs and ideals generated by some 2-minors, Comm. Algebra 39 (2011), 905–917.Google Scholar
[7] Villarreal, R., Cohen-Macaulay graphs, Manuscripta Math. 66 (1990), 277–293.Google Scholar