Next Article in Journal
Fourier Spectral Methods for Some Linear Stochastic Space-Fractional Partial Differential Equations
Next Article in Special Issue
Elimination of Quotients in Various Localisations of Premodels into Models
Previous Article in Journal
Exact Discrete Analogs of Canonical Commutation and Uncertainty Relations
Previous Article in Special Issue
A Cohomology Theory for Commutative Monoids
Open AccessArticle

Cohen Macaulayness and Arithmetical Rank of Generalized Theta Graphs

Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Ave., P.O. Box 15875-4413, Tehran 1591634311, Iran
*
Author to whom correspondence should be addressed.
Academic Editor: Hvedri Inassaridze
Mathematics 2016, 4(3), 43; https://doi.org/10.3390/math4030043
Received: 5 March 2016 / Revised: 5 June 2016 / Accepted: 6 June 2016 / Published: 29 June 2016
(This article belongs to the Special Issue Homological and Homotopical Algebra and Category Theory)
In this paper, we study some algebraic invariants of the edge ideal of generalized theta graphs, such as arithmetical rank, big height and height. We give an upper bound for the difference between the arithmetical rank and big height. Moreover, all Cohen-Macaulay (and unmixed) graphs of this type will be characterized. View Full-Text
Keywords: arithmetical rank; Cohen-Macaulay; height arithmetical rank; Cohen-Macaulay; height
Show Figures

Graphical abstract

MDPI and ACS Style

Seyyedi, S.M.; Rahmati, F. Cohen Macaulayness and Arithmetical Rank of Generalized Theta Graphs. Mathematics 2016, 4, 43.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop