On the zero divisor graphs of the ring of Lipschitz integers modulo $n$
Jose Maria Grau, Celino Miquel, Antonio Oller-Marcen
TL;DR
This paper investigates the properties of zero divisor graphs of Lipschitz integers modulo n, focusing on vertices, diameter, girth, and domination number to understand their structural characteristics.
Contribution
It provides new insights into the graph-theoretic properties of Lipschitz integers modulo n, including detailed analysis of vertices, diameter, girth, and domination number.
Findings
Determined the number of vertices in the zero divisor graphs.
Established bounds or exact values for the diameter and girth.
Analyzed the domination number of these graphs.
Abstract
This article studies the zero divisor graphs of the ring of Lipschitz integers modulo . In particular we focus on the number of vertices, the diameter and the girth. We also give some results regarding the domination number of these graphs.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.