Edge-contributions of some topological indices and arboreality of molecular graphsPisanski, Tomaž (Avtor) Žerovnik, Janez (Avtor) mathematical chemistrychemical graph theorytopological indexrevised Szeged indexSome 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.20092021-12-30 21:38:33Neznano17607sl