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Mathematical aspects on the harmonic index
(International Journal of Mathematical Analysis, 2017-01)
The aim of this paper is to obtain new inequalities involving the harmonic index H(G) to other well-known topological indices. Moreover, we show that the computation of the harmonic index is reduced to the computation of ...
Mathematical Properties of the Hyperbolicity of Circulant Networks
(Hindawi Publishing Corporation Advances in Mathematical Physics, 2015-07-24)
The first works on Gromov hyperbolic spaces deal with finitely generated groups. Initially, Gromov spaces were applied to the study of automatic groups in the science of computation; indeed, hyperbolic groups are strongly ...
On the total k-domination in graphs
(Discussiones Mathematicae, 2018-01)
Let G = (V, E) be a graph; a set S V is a total k-domination number (G) is the minimum cardinality among all total k-dominating sets. In this paper we obtain several tight bounds for the total k-domination number of a ...
Generating Function: Multiple Orthogonal Polynomials
(Applied Mathematical Sciences, 2016-03-09)
At present, interest in the study of multiple orthogonal polynomials has increased due to the development of simultaneous rational approximation of functions and the link between the two theories. Orthogonal polynomials ...