The radius of unit graphs of rings

• Published in: AIMS mathematics Vol. 6; no. 10; pp. 11508 - 11515
• Main Authors: Li, Zhiqun, Su, Huadong
• Format: Journal Article
• Language: English
• Published: AIMS Press 01.01.2021
• Subjects: radius; ring extension; self-injective ring; unit graph; unit sum number

Let $ R $ be a ring with nonzero identity. The unit graph of $ R $ is a simple graph whose vertex set is $ R $ itself and two distinct vertices are adjacent if and only if their sum is a unit of $ R $. In this paper, we study the radius of unit graphs of rings. We prove that there exists a ring $ R...