Work

Depth of Powers of Edge Ideals of Cycles and Starlike Trees

Year: 2026

Type: article

Abstract: Let I be the edge ideal of a cycle of length n≥5 over a polynomial ring S=k[x1,…,xn]. We prove that for 2≤t<⌈12(n+1)⌉, depth(S/It)=⌈13(n-t+1)⌉. Also, we compute the depth of powers of the edge ideal of a starlike tree, i.e., the join of several path graphs at a common root.

Source: Rocky Mountain Journal of Mathematics

DOI: 10.1216/rmj.2026.56.747

Authors: Nguyen Cong Minh, Tran Nam Trung, Thanh Vu

Institutions: Trường Đại học Khoa học và Công nghệ Hà Nội, Hanoi University of Science and Technology, Vietnam National University, Hanoi, VNU University of Engineering and Technology, Viện Trí tuệ nhân tạo, Institute of Mathematics, Vietnam Academy of Science and Technology

Language: English

Topic: Commutative Algebra and Its Applications

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7206163113

FWCI: 27.76

Cites: 19

Cited by: 14

Related to: 10