Order Sum Graph of a Group
Algebraic graphs
Center
Domination
Graph spectra
Order sum graphs. MSC2010: CXCL10
CXCL16
Date
The concept of the order sum graph associated with a finite group based on the order of the group and order of group elements is introduced. Some of the properties and characteristics such as size, chromatic number, domination number, diameter, circumference, independence number, clique number, vertex connectivity, spectra, and Laplacian spectra of the order sum graph are determined. Characterizations of the order sum graph to be complete, perfect, etc. are also obtained.
