Cohen Macaulayness and Arithmetical Rank of Generalized Theta Graphs

Mathematics

Farhad Rahmati¹  Seyyede Masoome Seyyedi¹ 

[1] Faculty of Mathematics and Computer Science, Amirkabir University of Technology, 424 Hafez Ave., P.O. Box 15875-4413, Tehran 1591634311, Iran;

关键词: arithmetical rank;    Cohen-Macaulay;    height;   

DOI  :  10.3390/math4030043

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown