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Edge-contributions of some topological indices and arboreality of molecular graphs
Pisanski, Tomaž ; Žerovnik, Janez, 1958-
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.
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