Eccentric distance sum index for some classes of connected graphs
Journal Title: Annales Universitatis Mariae Curie-Skłodowska. Sectio A, Mathematica - Year 2017, Vol 71, Issue 2
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
- EP ID EP305605
- DOI 10.17951/a.2017.71.2.25
- Views 98
- Downloads 0
The constructions of general connections on the fibred product of q copies of the first jet prolongation
We describe all natural operators A transforming general connections Gamma on fibred manifolds Y -> M and torsion-free classical linear connections Gamma on M into general connections A(Gamma, Lambda) on the fibred produ...
Convolution conditions for bounded α-starlike functions of complex order
Let A be the class of analytic functions in the unit disc U of the complex plane C with the normalization f(0)=f′(0)−1=0. We introduce a subclass S∗M(α,b) of A, which unifies the classes of bounded starlike and convex fu...
The Riemann-Cantor uniqueness theorem for unilateral trigonometric series via a special version of the Lusin-Privalov theorem
Using Baire's theorem, we give a very simple proof of a special version of the Lusin-Privalov theorem and deduce via Abel's theorem the Riemann-Cantor theorem on the uniqueness of the coefficients of pointwise converge...
On l1-preduals distant by 1
For every predual X of l1 such that the standard basis in l1 is weak* convergent, we give explicit models of all Banach spaces Y for which the Banach–Mazur distance d(X, Y ) = 1. As a by-product of our considerations, we...
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...