Depth and Stanley depth of the quotient rings of edge ideals of some lobster trees and unicyclic graphs

Authors

ADNAN IQBAL
MUHAMMAD ISHAQ

DOI

10.55730/1300-0098.3239

Abstract

We compute depth and Stanley depth of the quotient rings of the edge ideals associated with different classes of graphs. These classes include some lobster trees and unicyclic graphs. We show that the values of depth and Stanley depth are equal for the classes we considered.

Keywords

Depth, Stanley depth, Stanley decomposition, monomial ideal, edge ideal, lobster tree, unicyclic graph

First Page

1886

Last Page

1896

Recommended Citation

IQBAL, ADNAN and ISHAQ, MUHAMMAD (2022) "Depth and Stanley depth of the quotient rings of edge ideals of some lobster trees and unicyclic graphs," Turkish Journal of Mathematics: Vol. 46: No. 5, Article 18. https://doi.org/10.55730/1300-0098.3239
Available at: https://journals.tubitak.gov.tr/math/vol46/iss5/18