Open AccessArithmetical rank of the edge ideals of some $n$-cyclic graphs with a common edge
Author(s) -
Guangjun Zhu,
Feng Shi,
Yan Gu
Publication year - 2015
Publication title -
turkish journal of mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.454
H-Index - 27
eISSN - 1303-6149
pISSN - 1300-0098
DOI - 10.3906/mat-1407-39
Subject(s) - mathematics , arithmetic function , quotient , combinatorics , rank (graph theory) , enhanced data rates for gsm evolution , discrete mathematics , telecommunications , computer science
In this paper, we present some lower bounds and upper bounds on the arithmetical rank of the edge ideals of some n-cyclic graphs with a common edge. For some special n-cyclic graphs with a common edge, we prove that the arithmetical rank equals the projective dimension of the corresponding quotient ring.
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