DEPTH AND STANLEY DEPTH OF THE EDGE IDEALS OF SOME m-LINE GRAPHS AND m-CYCLIC GRAPHS WITH A COMMON VERTEX

We give some precise formulas for the depth of the quotient rings of the edge ideals associated to a graph consisting, either of the union of some line graphs L_{3r_1}},...,L_{3r_{k_1}}, L_{3s_1+1}, ...,L_{3s_{k_2}+1} and L_{3t_1+2},...,L_{3t_{k_3}+2} or of the union of cycle graphs C_{3r_1},...,C_{...

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Bibliographic Details
Main Author: GUANGJUN ZHU
Format: Article
Language:English
Published: Conspress 2015-11-01
Series:Romanian Journal of Mathematics and Computer Science
Subjects:
Online Access:http://www.rjm-cs.ro/Zhu2015.pdf