Publication: Computing the Merrifield-Simmons indices of benzenoid chains and double benzenoid chains
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Date
2022-10
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Springer Heidelberg
Abstract
In this paper, we introduce the Merrifield-Simmons vector defined at a path of corresponding double hexagonal (benzenoid) chain. By utilizing this vector, we present reduction formulae to compute the Merrifield-Simmons index sigma(H) of the corresponding double hexagonal (benzenoid) chain H. As the result, we compute sigma(H) of H by means of a product of some of obtained six matrices and a vector with entries in N. Subsequently, we introduce the simple Merrifield-Simmons vector defined at an edge of given graph G. By using simple Merrifield-Simmons vector we present reduction formulae to compute the sigma(G) where G represents any hexagonal (benzenoid) chain.
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Double hexagonal chains, Sensitive graphical subsets, Hosoya index, Enumeration, Respect, Double benzenoid chains, Double hexagonal chains, Hexagonal chains, Topological index, Merrifield-simmons index, Science & technology, Physical sciences, Mathematics, applied, Mathematics
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