Algebra Seminar: Algebraic properties of dominating ideals and closed neighborhood ideals of graphs
- Date: 18 April 2023, 15:15–17:00
- Location: Ångström Laboratory, Å64119 + Zoom
- Type: Seminar
- Lecturer: Mehrdad Nasernejad (Artois University)
- Organiser: Matematiska institutionen
- Contact person: Veronica Crispin Quinonez
Welcome to this seminar held by Mehrdad Nasernejad from Artois University with the title "Algebraic properties of dominating ideals and closed neighborhood ideals of graphs".
Participate on site or via Zoom link (meeting ID: 645 5572 6999, for passcode: please contact the organizer).
Abstract: In this talk, which is based on the published paper [1], we first review the necessary definitions of commutative algebra and graph theory. After that, we state some algebraic properties of dominating ideals and closed neighborhood ideals of graphs such as the persistence property, the strong persistence property, normally torsion-freeness, and normality. We continue this talk by studying dominating ideals and closed neighborhood ideals of cycle graphs as a case study. We terminate our discussion by giving some open questions in this theme.
References: [1] M. Nasernejad, A. A. Qureshi, S. Bandari, and A. Musapaşaoğlu, Dominating ideals and closed neighborhood ideals of graphs, Mediterr. J. Math. 19 (2022), No. 4, Paper No. 152, 18 pp.
This is a seminar in our algebra seminar series.