Abstract
In this paper, twenty degree-based topological indices and seven neighbourhood degree-sum-based topological indices of Dimer 1 (two units of chrysene) [4] 0D & 1D in the graphene context are enumerated. The Oligomer Approach[3] is practiced here to explore the interconnection between PAH ( cove type periphery based on 11, 11’-dibromo-5,5’-bis chrysene as a key monomer-Dimer 1) and graphene numerically through the indices.
Highlights
The separation of the Graphene (21st-century wonder material) layer from graphite is the recent revolution in the material science domain
The neighbourhood degree sum of a vertex v is the sum of the degrees of neighbourhood vertices of the vertex v and is denoted as Sv, whereas the degree of v is the number of edges meeting at v and is denoted as dv Chemical graph theory (CGT) is a division of mathematical chemistry, pacts with the nontrivial applications of graph theory to crack molecular problems
Twenty degree-based topological indices and seven degree-sum-based topological indices mentioned in Table 1&2 are computed in 3 divisions based on 0D,1D& 2D oligomers
Summary
The separation of the Graphene (21st-century wonder material) layer from graphite is the recent revolution in the material science domain. The focus on PAHs in “graphene context” resulting in 0D (GQD),1D (GNR) molecular structureproperty related Topological index development. Chemical graph theory(CGT) is the division of mathematical Chemistry and graph theory is used as the mathematical model of molecular structures to predict the physical properties of the molecules. Topological indices demarcated on these molecular structures to predict the physicochemical properties and biological activity. The neighbourhood degree sum of a vertex v is the sum of the degrees of neighbourhood vertices of the vertex v and is denoted as Sv, whereas the degree of v is the number of edges meeting at v and is denoted as dv Chemical graph theory (CGT) is a division of mathematical chemistry, pacts with the nontrivial applications of graph theory to crack molecular problems. CGT is to custom algebraic invariants to condense the topological structure of a molecule to a single number, which symbolizeseither the energy of the molecule as a whole or its orbitals
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