Analysis of irregularity measures of zigzag, rhombic, and honeycomb benzenoid systems

Abstract

Molecular topology is a key to determine the physiochemical aspects of the molecular structure. To determine the degree of irregularity of a certain molecular structure or a network has been a key source of interest for the molecular topologists as it provides an insight of the key features that are used to guess the properties of the structures. In this article, we are interested in formulating closed forms of irregularity measures of some popular benzenoid systems, namely, zigzag, rhombic, and honeycomb benzenoid systems. We also compared our results graphically and concluded that benzenoid system among above is more asymmetric than the others.

Keywords

• benzenoid system
• irregularity measure
• complexity of structure
• zigzag benzenoid system
• rhombic benzenoid system
• honeycomb benzenoid system