Work

Associated primes of the second power of closed neighborhood ideals of graphs

Year: 2026

Type: article

Abstract: In this paper, we study simple graphs for which the maximal homogeneous ideal is an associated prime of the second power of their closed neighborhood ideals. In particular, we show that such graphs must have diameter at most [Formula: see text], that this bound is sharp, and that those with diameter [Formula: see text] are precisely the vertex diameter-[Formula: see text]-critical graphs.

Source: Journal of Algebra and Its Applications

DOI: 10.1142/s0219498827501878

Authors: Ha Thi Thu Hien, Thanh Vu

Institutions: Foreign Trade University, 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: W7140937756

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