Eccentric distance sum index for some classes of connected graphs

Abstract

In this paper we show some properties of the eccentric distance sum index which is defined as follows ξd(G)=∑v∈V(G)D(v)ε(v). This index is widely used by chemists and biologists in their researches. We present a lower bound of this index for a new class of graphs.

Authors and Affiliations

Halina Bielak, Katarzyna Broniszewska

Keywords

Related Articles

On generalized Mersenne numbers, their interpretations and matrix generators

In this paper we introduce generalized Mersenne numbers. We shall present some of their interpretations and matrix generators which are very useful for determining identities.

Oscillation of third-order delay difference equations with negative damping term

The aim of this paper is to investigate the oscillatory and asymptotic behavior of solutions of a third-order delay difference equation. By using comparison theorems, we deduce oscillation of the difference equation from...

On a two-parameter generalization of Jacobsthal numbers and its graph interpretation

In this paper we introduce a two-parameter generalization of the classical Jacobsthal numbers ((s, p)-Jacobsthal numbers). We present some properties of the presented sequence, among others Binet’s formula, Cassini’s ide...

Some properties for α-starlike functions with respect to k-symmetric points of complex order

In the present work, we introduce the subclass Tkγ,α(φ), of starlike functions with respect to k-symmetric points of complex order γ (γ≠0) in the open unit disc △. Some interesting subordination criteria, inclusion relat...

On almost complex structures from classical linear connections

Let Mfm be the category of m-dimensional manifolds and local diffeomorphisms and let T be the tangent functor on Mfm. Let V be the category of real vector spaces and linear maps and let Vm be the category of m-dimension...

Download PDF file
  • EP ID EP305605
  • DOI 10.17951/a.2017.71.2.25
  • Views 117
  • Downloads 0

How To Cite

Halina Bielak, Katarzyna Broniszewska (2017). Eccentric distance sum index for some classes of connected graphs. Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica, 71(2), 25-32. https://europub.co.uk/articles/-A-305605