Two classes of topological indices of phenylene molecule graphs (Q1793658)

From MaRDI portal





scientific article; zbMATH DE number 6953656
Language Label Description Also known as
English
Two classes of topological indices of phenylene molecule graphs
scientific article; zbMATH DE number 6953656

    Statements

    Two classes of topological indices of phenylene molecule graphs (English)
    0 references
    0 references
    12 October 2018
    0 references
    Summary: A phenylene is a conjugated hydrocarbons molecule composed of six- and four-membered rings. The matching energy of a graph \(G\) is equal to the sum of the absolute values of the zeros of the matching polynomial of \(G\), while the Hosoya index is defined as the total number of the independent edge sets of \(G\). In this paper, we determine the extremal graph with respect to the matching energy and Hosoya index for all phenylene chains.
    0 references

    Identifiers