On the Energy of Some Graphs

Abstract

Energy of a graph is an interesting parameter related to total π electron energy of the corresponding molecule. Recently Vaidya and Popat defined a pair of new graphs and obtained their energy in terms of the energy of original graph. In this paper we generalize the construction and obtain their energy. Also we discuss the spectrum of the first level thorn graph of a graph.

Degree Sum Energy of Non-Commuting Graph for Dihedral Groups

“…Throughout this paper, the discussion will be directed to the degree sum energy defined by Ramane et al (2013). In particular, Jog and Kotambari (2016) presented the degree sum energy of six types of simple graphs, namely, Wheel graphs, Path Tadpole graphs, Dumbbell graphs, coalescence regular graphs, complete graphs, and cycles. Apart from that, Hosamani and Ramane (2016) also discussed the degree sum energy focusing on determining the lower bounds of degree sum energy of simple graphs.…”