ON THE STANLEY DEPTH OF EDGE IDEALS OF LINE AND CYCLIC GRAPHS

ON THE STANLEY DEPTH OF EDGE IDEALS OF LINE AND CYCLIC GRAPHS

We prove that the edge ideals of line and cyclic graphs and their quotient rings satisfy the Stanley conjecture. We compute the Stanley depth for the quotient ring of the edge ideal associated to a cycle graph of length n, given a precise formula for n ≡ 0, 2 (mod 3) and tight bounds for n ≡ 1 (mod...

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Bibliographic Details
Main Author: MIRCEA CIMPOEAS
Format: Article
Language:English
Published: Conspress 2015-05-01
Series:Romanian Journal of Mathematics and Computer Science
Subjects:
Stanley depth
Stanley conjecture
monomial ideal
edge ideal
Online Access:http://www.rjm-cs.ro/Cimpoeas-1-2015

Internet

http://www.rjm-cs.ro/Cimpoeas-1-2015

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