Abstract
Let be a simple connected graph. A vertex a is said to recognize (resolve) two different elements b1 and b2 from
if
A subset of distinct ordered vertices
is said to be a mixed metric generator for Γ if each pair of distinct elements from
are recognized by some element of UM. The mixed metric generator with a minimum number of elements is called a mixed metric basis of Γ. Then, the cardinality of this mixed metric basis for Γ is called the mixed metric dimension of Γ, denoted by
The concept of studying chemical structures using graph theory terminologies is both appealing and practical. It enables researchers to more precisely and easily examines various chemical topologies and networks. In this paper, we consider two well-known chemical structures; starphene
and six-sided hollow coronoid
and respectively compute their multiset dimension and mixed metric dimension.
Acknowledgements
We would like to express our sincere gratitude to the referees for a very careful reading of this paper and for all their insightful comments/criticism, which have resulted in a number of major improvements. We also acknowledge that this manuscript has already been uploaded as arxiv in Cornell University vide link http://arxiv.org/abs/2110.12368
Disclosure statement
No potential conflict of interest was reported by the authors.
Authors’ contributions
All the authors have equally contributed to the final manuscript.
Data availability statement
Data sharing is not applicable to this article as no data set were generated or analyzed during the current study.