Asymptotic energy of connected cubic circulant graphs

Abstract

In this article, we compute the oblique asymptote of the energy function for all connected cubic circulant graphs. Moreover, we show that this oblique asymptote is an upper bound for the energies of two of the subclasses of Möbius ladder graphs and lower bound for the remaining four subclasses.

Keywords:

• Möbius ladder graph
• Prism graph
• energy of a graph
• asymptotic energy

AMS subject classification:

• 5C50
• 15A18
• 68R05
• 42A05

Disclosure statement

No potential conflict of interest was reported by the author(s).