The Estrada Index
The full nonrigid group theory for trimethylamine.
The fundamental group and Galois coverings of hexagonal systems in 3-space.
The number of -matchings in almost every tree is a zero residue.
The stability of some chemical systems established by the semi-empirical method.
The Wiener number of Kneser graphs
The Wiener number of a graph G is defined as 1/2∑d(u,v), where u,v ∈ V(G), and d is the distance function on G. The Wiener number has important applications in chemistry. We determine the Wiener number of an important family of graphs, namely, the Kneser graphs.
The Wiener number of powers of the Mycielskian
The Wiener number of a graph G is defined as , d the distance function on G. The Wiener number has important applications in chemistry. We determine a formula for the Wiener number of an important graph family, namely, the Mycielskians μ(G) of graphs G. Using this, we show that for k ≥ 1, , where Sₙ, Tₙ and Pₙ denote a star, a general tree and a path on n vertices respectively. We also obtain Nordhaus-Gaddum type inequality for the Wiener number of .
Theoretical foundation for the discrete dynamics of physicochemical systems: Chaos, self-organization, time and space in complex systems.
Time-discretization of a degenerate reaction-diffusion equation arising in biofilm modeling.
Using DNA Self-assembly Design Strategies to Motivate Graph Theory Concepts
A number of exciting new laboratory techniques have been developed using the Watson-Crick complementarity properties of DNA strands to achieve the self-assembly of graphical complexes. For all of these methods, an essential step in building the self-assembling nanostructure is designing the component molecular building blocks. These design strategy problems fall naturally into the realm of graph theory. We describe graph theoretical formalism for various construction methods, and then suggest several...
Одна смешанная краевая задача в случае предельного электрохимического формообразования
Приближенное решение задачи стационарного электрохимического формообразования
Стационатное электрохимическое формообразование двумя котодами