Generalized perimantanes diamondoid structure and their edge-based metric dimensions-Reference-Cited by-同舟云学术

Generalized perimantanes diamondoid structure and their edge-based metric dimensions

Published:2022 Issue:7 Volume:7 Page:11718-11731
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ahmad Al-Nashri Al-Hossain¹,Ahmad Ali²

Affiliation:

1. Department of Mathematics, AL Qunfudha University College, Umm AL-Qura University, Saudi Arabia

2. College of Computer Science and Information Technology, Jazan University, Jazan, Saudi Arabia

Abstract

<abstract><p>Due to its superlative physical qualities and its beauty, the diamond is a renowned structure. While the green-colored perimantanes diamondoid is one of a higher diamond structure. Motivated by the structure's applications and usage, we look into the edge-based metric parameters of this structure. In this draft, we have discussed edge metric dimension and their generalizations for the generalized perimantanes diamondoid structure and proved that each parameter depends on the copies of original or base perimantanes diamondoid structure and changes with the parameter $ {\lambda} $ or its number of copies.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference46 articles.

1. M. Diudea, C. Nagy, Diamond and related nanostructures, Netherlands: Springer, 2013. http://dx.doi.org/10.1007/978-94-007-6371-5

2. P. Schreiner, A. Fokin, H. Reisenauer, B. Tkachenko, E. Vass, M. Olmstead, et al., [123] tetramantane: parent of a new family of $\sigma$-helicenes, J. Am. Chem. Soc., 131 (2009), 11292–11293. http://dx.doi.org/10.1021/ja904527g

3. M. Imran, M. Siddiqui, R. Naeem, On the metric dimension of generalized petersen multigraphs, IEEE Access, 6 (2018), 74328–74338. http://dx.doi.org/10.1109/access.2018.2883556

4. C. Wei, M. Nadeem, H. Siddiqui, M. Azeem, J. Liu, A. Khalil, On partition dimension of some cycle-related graphs, Math. Probl. Eng., 2021 (2021), 4046909. http://dx.doi.org/10.1155/2021/4046909

5. M. Nadeem, M. Azeem, I. Farman, Comparative study of topological indices for capped and uncapped carbon nanotubes, Polycycl. Aromat. Comp., in press. http://dx.doi.org/10.1080/10406638.2021.1903952

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