Energy of graphs with self-loops
İvan Gutman, Izudin Redžepović, Boris Furtula, Ali Mohammed Sahal
Abstract
The energy of graphs containing self-loops is considered. If the graph G of order n contains self-loops, then its energy is defined as E(G) = | i/n| where 1 , 2 , . . . , n are the eigenvalues of the adjacency matrix of G. Some basic properties of E(G) are established, and several open problems pointed out or conjectured.
Topics & Concepts
Energy (signal processing)MathematicsComputer sciencePhysicsStatisticsAdvanced Thermodynamics and Statistical MechanicsCellular Automata and ApplicationsStochastic processes and statistical mechanics