The Planar Index and Outerplanar Index of Some Graphs Associated to Commutative Rings

Abstract

In this paper, we study the planar and outerplanar indices of some graphs associated to a commutative ring. We give a full characterization of these graphs with respect to their planar and outerplanar indices when R is a finite ring.

Keywords

• jacobson graph
• commutative ring
• planar index
• outerplanar index
• 05c10
• 05c25
• 05c76