Generalized perimantanes diamondoid structure and their edge-based metric dimensions

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>

Double edge resolving set and exchange property for nanosheet structure

“…This study advances our knowledge of the special qualities and possible uses of nanosheet chemicals. Further insights and discussions regarding mathematical elements of graph theory and chemistry can be gained from recent works [6] , [7] . These papers demonstrate how mathematical chemistry is interdisciplinary and how mathematical models and methods improve our understanding of chemical structures and events.…”