Edge-contributions of some topological indices and arboreality of molecular graphs

Tomaž Pisanski, Janez Žerovnik

Abstract


Some graph invariants can be computed by summing certain values, called edge-contributions over all edges of graphs. In this note we use edge-contributions to study relationships among three graph invariants, also known as topological indices in mathematical chemistry: Wiener index, Szeged index and recently introduced revised Szeged index. We also use the quotient between the Wiener index and the revised Szeged index to study tree-likeness of graphs.

Keywords


mathematical chemistry, topological index, revised Szeged index

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DOI: https://doi.org/10.26493/1855-3974.68.51b

ISSN: 1855-3974

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