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• W3159384435 abstract "A set $mathbb{Y}$ of elements (vertices or edges) in space is said to be a $generator$ of a metric space if each element of the space is recognized by its distances from the elements of $mathbb{Y}$, uniquely. The generator with minimum cardinality is known as the $basis$ of the metric space, and this cardinality is the $dimension$ of the given space. In this article, we further discuss these notions with respect to a heptagonal circular ladder. We show that for a heptagonal circular ladder $Gamma_{n}$, the edge metric dimension is three and find that it equals its metric dimension. We also introduce a new family of the convex polytope graph (denoted by $Delta_{n}$) from a heptagonal circular ladder and find its metric dimension. Furthermore, we prove that the minimum generator (metric and edge metric) are independent for all of these families of the convex polytopes." @default.
• W3159384435 created "2021-05-10" @default.
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• W3159384435 date "2021-04-26" @default.
• W3159384435 modified "2023-09-27" @default.
• W3159384435 title "Edge Resolvability for Circular Ladder of Heptagons" @default.
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