Generalized perimantanes diamondoid structure and their edge-based metric dimensions

AIMS Mathematics

article

Al-Nashri Al-Hossain Ahmad¹  Ali Ahmad² 

[1] Department of Mathematics, AL Qunfudha University College, Umm AL-Qura University;College of Computer Science and Information Technology, Jazan University

关键词: mixed metric dimension;    edge metric dimension;    generalized perimantanes diamondoids;    diamond structure;    edge resolving set;   

DOI  :  10.3934/math.2022653

学科分类：地球科学(综合)

来源: AIMS Press

【 摘 要 】

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.

【 授权许可】

CC BY