Some Metrics for the Crystal Cubic Carbon CCC(n) and the Layer Cycle Graph LCG(n,k)In a chemical compound, it is very important for chemists to find the size of
the smallest set of atoms so that they can identify other atoms relative to
that the smallest set of atoms, so chemists require mathematical forms for a
set of chemical compound to give distinct representations to distinct compound
structures and its corresponding in graph theory is to find the minimal
resolving set. The study of the resolving set and its related parameters such
as doubly resolving set and strong resolving set are significant, and it is
well known that these problems are NP hard. In this article, we define the
structure of the crystal cubic carbon CCC(n) by a new method, and we provide a
much simpler formula for obtaining its vertices than the formula for
calculating its vertices in (Baig et al., 2017). Moreover, we focus on some
resolving parameters of two graphs the crystal cubic carbon CCC(n) and the
layer cycle graph will be denoted by LCG(n, k).
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