najoNanosystems: Physics, Chemistry, MathematicsНаносистемы: физика, химия, математика2220-80542305-7971Университет ИТМО10.17586/2220-8054-2021-12-3-263-270najo-425Research ArticleMATHEMATICSМАТЕМАТИКАThe F-index and coindex of V-Phenylenic Nanotubes and Nanotorus and their molecular complement graphsF-индекс и коиндекс V-фениленовых нанотрубок и наноторуса и графики их молекулярного дополненияAlsharafiMohammed S.Y.AlsharafiMohammed S.Y.

Graduate School of Natural and Applied Sciences

Istanbul

alsharafi205010@gmail.comAlameriAbdu Q.AlameriAbdu Q.

Department of Biomedical Engineering

Sana’a

a.alameri2222@gmail.comYildiz Technical UniversityTurkeyUniversity of Science and TechnologyYemen202104082025123263270Copyright © Alsharafi M.S., Alameri A.Q., 20252025Alsharafi M.S., Alameri A.Q.Alsharafi M.S., Alameri A.Q.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://nanojournal.ifmo.ru/jour/article/view/425

The forgotten topological index was defined to be used in the analysis of chemical structures which often appear in drug molecular graphs. In this paper, we studied the F-index and F-coindex for certain important physico chemical structures such as V-Phenylenic Nanotube V PHX [m; n] and V-Phenylenic Nanotorus V PHY [m; n] and their molecular complement graph. Moreover, we computed F-polynomial of the V-Phenylenic Nanotubes and Nanotorus. These explicit formulae can correlate the chemical structure of molecular graphs of Nanotubes and Nanotorus to information about their physicochemical structure.

Забытый топологический индекс был определен для использования в анализе химических структур, которые часто появляются в молекулярных графах лекарств. В этой статье мы изучили F-индекс и F-коиндекс для некоторых важных физико-химических структур, таких как V-фениленовая нанотрубка V PHX[m; n] и V-фениленовый наноторус V PHY [m; n] и граф их молекулярного дополнения. Кроме того, мы вычислили F-полином V-фениленовых нанотрубок и наноторов. Эти явные формулы могут соотнести химическую структуру молекулярных графов нанотрубок и наноторов с информацией об их физико-химической структуре.

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The authors declare that there are no conflicts of interest present.