Regularity of powers of cover ideals of bipartite graphs-Reference-Cited by-同舟云学术

Regularity of powers of cover ideals of bipartite graphs

Published:2023-03 Issue:02 Volume:33 Page:317-335
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Hang Nguyen Thu¹²,Hien Truong Thi³

Affiliation:

1. Thai Nguyen University of Sciences, Tan Thinh Ward, Thai Nguyen City, Thai Nguyen, Vietnam

2. International Centre of Research and Postgraduate Training in Mathematics, 18B Hoang Quoc Viet Street, Ha Noi, Vietnam

3. Hong Duc University, 565 Quang Trung Street, Dong Ve Ward, Thanh Hoa, Viet Nam

Abstract

Let [Formula: see text] be a bipartite graph over the vertex set [Formula: see text] and let [Formula: see text] be the cover ideal of [Formula: see text] in the polynomial ring [Formula: see text]. It is known that there are integers [Formula: see text] and [Formula: see text] such that [Formula: see text] is a linear function in [Formula: see text] for all [Formula: see text]. In this paper, we give effective bounds for [Formula: see text] and [Formula: see text].

Funder

International Centre of Research and Postgraduate Training in Mathematics (ICRTM), Institute of Mathematics, VAST

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196723500169

Reference32 articles.

1. Regularity of powers of edge ideals of unicyclic graphs

2. The regularity of powers of edge ideals

3. Regularity of powers of edge ideals: from local properties to global bounds

4. Regularity defect stabilization of powers of an ideal

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