Graph

Topological index

Topology (electrical circuits)

Pure mathematics

Algebraic structure

Ring theory

Mathematics

Commutative ring

Combinatorics

Organic chemistry

Mathematical analysis

Chemistry

Algebraic number

Discrete mathematics

Commutative property

Ring (chemistry)

Journal of Physics Conference Series

The researches on topological indices are initially related to graphs obtained from biological activities or chemical structures and reactivity. Recently, the research on this topic has evolved on graphs in general and even on graphs obtained from algebraic structures, such as groups, rings or modules. This paper will present various topological index concepts, various graph concepts obtained from a commutative ring and some previous studies that are relevant to those two concepts. Based on the various concepts presented, research topics related to topological indices of a graph associated with a commutative ring can be found and carried out.

Survey on topological indices and graphs associated with a commutative ring