The Randić index was proposed by Randić in 1975 and has been widely studied in different
areas. We briefly review the Randić index and various Randić-type descriptors from 1975 to …

Degree-Based Topological Indices† Page 1 † Dedicated to Professor Douglas Jay Klein on
the occasion of his 70th birthday. CROATICA CHEMICA ACTA CCACAA, ISSN 0011-1643 …

Tessellations of kekulenes and cycloarenes are of considerable interest as nanomolecular
belts in trapping and transportation of heavy metal ions and chloride ions, as they possess …

Three vertex-degree-based graph invariants are presented, that earlier have been
considered in the chemical and/or mathematical literature, but that evaded the attention of …

One of the general requirements for any topological index TI is that similar molecules have
near-lying TI-values, which is referred to as “smoothness”. Curiously, however, smoothness …

The correlation ability of 20 vertex-degree-based topological indices, occurring in the
chemical literature, is tested for the case of standard heats of formation and normal boiling …

In 1956, Nordhaus and Gaddum gave lower and upper bounds on the sum and the product
of the chromatic number of a graph and its complement, in terms of the order of the graph …

If\(G=(\mathbf {V}\\mathbf {E})\) is a molecular graph and\(d_u\) is the degree of vertex\(u\),
then the first and second Zagreb indices are\(\sum_ {u\in\mathbf {V}} d_u^ 2\) and\(\sum …

Quantitative structure–activity relationship (QSAR) represents quantitative correlation of
chemical structural features called as molecular descriptors and pharmacological activity as …

One of the fundamental challenges in reticular chemistry is the characterization of the
complexity of the underlying molecular network, in which high complexity signifies low …