On molecular graphs and digraphs of annulenes and their spectra

Abstract

Amolecular graph, consisting of undirected edges, can be represented as a sum of two digraphs, consisting of oppositely oriented directed edges. In the case of annulenes, the eigenvalue spectrum of the molecular graph is equal to the sum of the eigenvalue spectra of the respective two molecular digraphs.

Keywords

• molecular graph
• molecular digraph
• annulene
• spectrum (of graph)