Some New Results on Energy of Graphs with Self Loops

Kalpesh M. Popat, Kunal R. Shingala

The graph $G_{\sigma }$ is obtained from graph $G$ by attaching self loops on $\sigma$ vertices. The energy $E(G_{\sigma })$ of the graph $G_{\sigma }$ with order $n$ and eigenvalues ${\lambda }_1,{\lambda }_2,\dots ,{\lambda }_n$ is de…