Graph theory has been used for modeling chemical structures, that is, chemical compounds,
intermediates, changes, reactions and mechanisms. Among the most important such …

By suitably adjusting the tropical algebra technique we compute the rainbow independent
domination numbers of several infinite families of graphs including Cartesian products C n …

This paper reviews some of our developments in algorithmic graph theory, with some
applications in physical chemistry and catalysis. Two levels of granularity in the topological …

This study aims to efficiently solve the space-time fractional partial integro-differential
equations with spatial-time delays, employing a fast numerical methodology dependent …

An algebraic approach is proposed which can be used to solve different problems on
fasciagraphs and rotagraphs. A particular instance of this method computes the domination …

Using algebraic approach we implement a constant time algorithm for computing the
domination numbers of the Cartesian products of paths and cycles. Closed formulas are …

We discuss the complexity of computing various graph polynomials of graphs of fixed clique-
width. We show that the chromatic polynomial, the matching polynomial and the two-variable …

Rotagraphs generalize all standard products of graphs in which one factor is a cycle. A
computer-based approach for searching graph invariants on rotagraphs is proposed and …

The modified Wiener index is an algebraic modification of the classical Wiener index under
symmetry group. This graph invariant was presented by Graovac and Pisanski in 1991. In …

We outline a general theory of graph polynomials which covers all the examples we found in
the vast literature, in particular, the chromatic polynomial, various generalizations of the …