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In this editorial, the relationship among energy, electric quadrupole and hexadecapole moments with a topological index has known Padmakar-Ivan (PI) index of some different types of zigzag polyhexamethylene biguanide, polyhexamethylene adipamide, polyhexamethylene biguanide gauze and polyhexamethylene biguanide hydrochloride (phmb) Boron Nitride Nanotubes (BNNTs), Amorphous Boron Nitride Nanotubes (a-BNNTs) and Hexagonal Boron Nitride Nanotubes (h-BNNTs) is presented. Based on the graph theory, a new method for the prediction of topological, quantum chemical, physical and molecular spectroscopic properties and also other properties of zigzag polyhexamethylene biguanide, polyhexamethylene adipamide, polyhexamethylene biguanide gauze and polyhexamethylene biguanide hydrochloride (phmb) Boron Nitride Nanotubes (BNNTs), Amorphous Boron Nitride Nanotubes (aBNNTs) and Hexagonal Boron Nitride Nanotubes (h-BNNTs) is investigated [1-10]. Furthermore, graph theory has been extensively applied to predict the topological, quantum chemical, physical and molecular spectroscopic properties of small molecules such as Boron Nitride Nanotubes (BNNTs), Amorphous Boron Nitride Nanotubes (aBNNTs) and Hexagonal Boron Nitride Nanotubes (h-BNNTs) through Quantitative Structure-Activity Relationship (QSAR) and Quantitative Structure-Property Relationship (QSPR) studies [11-22]. Also, this demonstrates strong correlations among quantum chemical, physical and molecular spectroscopic properties and one more topological indices. It should be noted that topological indices present a mathematical definition arising from the field of graph theory.

journal of applied and computational mathematics

Graph Theoretical Analysis of Zigzag Polyhexamethylene Biguanide, Polyhexamethylene Adipamide, Polyhexamethylene Biguanide Gauze and Polyhexamethylene Biguanide Hydrochloride (PHMB) Boron Nitride Nanotubes (BNNTs), Amorphous Boron Nitride Nanotubes (a-BNNTs) and Hexagonal Boron Nitride Nanotubes (h-BNNTs)