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.
Depth, Stanley depth, Stanley decomposition, monomial ideal, edge ideal, lobster tree, unicyclic graph
IQBAL, ADNAN and ISHAQ, MUHAMMAD
"Depth and Stanley depth of the quotient rings of edge ideals of some lobster trees and unicyclic graphs,"
Turkish Journal of Mathematics: Vol. 46:
5, Article 18.
Available at: https://journals.tubitak.gov.tr/math/vol46/iss5/18