Projective dimension and regularity of edge ideals of some vertex-weighted oriented unicyclic graphs
Year: 2023
Type: preprint
Abstract: In this paper we provide some exact formulas for the projective dimension and the regularity of edge ideals of vertex-weighted oriented unicyclic graphs. These formulas are in function of the weight of the vertices, the numbers of edges. We also give some examples to show that these formulas are related to direction selection and the assumptions that $w(x)\geq 2$ for any vertex $x$ cannot be dropped.
Source: arXiv (Cornell University)
Authors: Zhu, Guangjun, Wang, Hong
Language: English
Subfield: Algebra and Number Theory
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
Award: G4611607877
OpenAlex ID: W4386907425