Wiener index of graphs over rings: a survey

Abstract

AbstractThis article presents a survey of results consisting of the Wiener index of graphs associated with commutative rings. In particular, we focus on zero-divisor graphs, unit graphs, total graphs and prime graphs. Further, we have posed some open problems corresponding to the graphs considered.

Keywords

• Wiener index
• unitary Cayley graph
• unit graph
• total graph
• Primary: 05C25
• Secondary: 15A18