Connective Eccentric Index of an Infinite Family of Linear Polycene Parallelogram Benzenoid

Maximal Path ◽

Molecular Graphs ◽

Let G=(V, E) be a graph, where V(G) is a non-empty set of vertices and E(G) is a set of edges.We defined dv denote the degree of vertex v∈V(G). The Eccentric Connectivity index ξ(G) and theConnective Eccentric index Cξ(G) of graph G are defined as ξ(G)= ∑ v∈V(G)dv x ξ(v) and Cξ(G)=ξ(G)= ∑ v∈V(G)dv x ξ(v)- where ε(v) is defined as the length of a maximal path connecting a vertex v toanother vertex of G. In this present paper, we compute these Eccentric indices for an infinite family oflinear polycene parallelogram benzenod by a new method.Keywords: Molecular graphs; Linear polycene parallelogram; Benzenoid; Eccentric connectivityindex; Connective eccentric index

Eccentric Connectivity Index of Some Special Molecular Graphs and Their R-Corona Graphs

International Journal of Chemical and Process Engineering Research ◽

10.18488/journal.65/2014.1.5/65.5.43.50 ◽

2014 ◽

Vol 1 (5) ◽

pp. 43-50

Author(s):

Yun Gao ◽

Li Liang ◽

Wei Gao

Keyword(s):

Connectivity Index ◽

Molecular Graphs ◽

Corona Graphs

Computing eccentric connectivity index of nanostar dendrimers

Acta Chimica Slovaca ◽

10.1515/acs-2017-0017 ◽

2017 ◽

Vol 10 (2) ◽

pp. 96-100 ◽

Cited By ~ 1

Author(s):

Sara Mehdipour ◽

Mehdi Alaeiyan ◽

Ali Nejati

Keyword(s):

Molecular Graph ◽

Connectivity Index ◽

AbstractLet G be a molecular graph, the eccentric connectivity index of G is defined as ξc(G) = Σu∈V(G)deg(u)·ecc(u), where deg(u) denotes the degree of vertex u and ecc(u) is the largest distance between u and any other vertex v of G, namely, eccentricity of u. In this study, we present exact expressions for the eccentric connectivity index of two infinite classes of nanostar dendrimers.

Connective Eccentric Index of Circumcoronene Homologous Series of Benzenoid Hk

International Letters of Chemistry Physics and Astronomy ◽

10.18052/www.scipress.com/ilcpa.32.71 ◽

2014 ◽

Vol 32 ◽

pp. 71-76

Author(s):

Mohammad Reza Farahani

Keyword(s):

Homologous Series ◽

Topological Index ◽

Molecular Graph ◽

Connectivity Index ◽

Let G be a molecular graph, a topological index is a numeric quantity related to G which is invariant under graph automorphisms. The eccentric connectivity index ξ(G) is defined as ξ(G) = ∑vV(G) d x ε(v) where dv, ε(v) denote the degree of vertex v in G and the largest distance between vand any other vertex u of G. The connective eccentric index of graph G is defined as Cξ(G) = ∑vV(G) dv /ε(v) In the present paper we compute the connective eccentric index of CircumcoroneneHomologous Series of Benzenoid Hk (k ≥ 1).

The eccentric connectivity index of armchair polyhex nanotubes

Macedonian Journal of Chemistry and Chemical Engineering ◽

10.20450/mjcce.2010.175 ◽

2010 ◽

Vol 29 (1) ◽

pp. 71 ◽

Cited By ~ 8

Author(s):

Mahboubeh Saheli ◽

Ali Reza Ashrafi

Keyword(s):

Exact Expression ◽

Connectivity Index ◽

The eccentric connectivity index ξ(G) of the graph G is defined as ξ(G) = Σu∈V(G) deg(u)ε(u) where deg(u) denotes the degree of vertex u and ε(u) is the largest distance between u and any other vertex v of G. In this paper an exact expression for the eccentric connectivity index of an armchair polyhex nanotube is given.

Handbook of Research on Applied Cybernetics and Systems Science - Advances in Computational Intelligence and Robotics ◽

Application of Corona Product of Graphs in Computing Topological Indices of Some Special Chemical Graphs

10.4018/978-1-5225-2498-4.ch004 ◽

2017 ◽

pp. 82-101

Author(s):

Nilanjan De

Keyword(s):

Topological Indices ◽

Connectivity Index ◽

Molecular Graphs ◽

Mathematical Chemistry ◽

Graph Operations ◽

Eccentricity Index ◽

Chemical Graphs ◽

Product Of Graphs ◽

Corona Product

Graph operations play a very important role in mathematical chemistry, since some chemically interesting graphs can be obtained from some simpler graphs by different graph operations. In this chapter, some eccentricity based topological indices such as the total eccentricity index, eccentric connectivity index, modified eccentric connectivity index and connective eccentricity index and their respective polynomial versions of corona product of two graphs have been studied and also these indices of some important classes of chemically interesting molecular graphs are determined by specializing the components of corona product of graphs.

On eccentricity-based topological descriptors of water-soluble dendrimers

Zeitschrift für Naturforschung C ◽

10.1515/znc-2018-0123 ◽

2018 ◽

Vol 74 (1-2) ◽

pp. 25-33 ◽

Cited By ~ 11

Author(s):

Zahid Iqbal ◽

Muhammad Ishaq ◽

Adnan Aslam ◽

Wei Gao

Keyword(s):

Molecular Structure ◽

Chemical Properties ◽

Topological Indices ◽

Water Soluble ◽

Connectivity Index ◽

Topological Descriptors ◽

Physical And Chemical Properties ◽

Physical And Chemical ◽

And Chemical Properties

AbstractPrevious studies show that certain physical and chemical properties of chemical compounds are closely related with their molecular structure. As a theoretical basis, it provides a new way of thinking by analyzing the molecular structure of the compounds to understand their physical and chemical properties. The molecular topological indices are numerical invariants of a molecular graph and are useful to predict their bioactivity. Among these topological indices, the eccentric-connectivity index has a prominent place, because of its high degree of predictability of pharmaceutical properties. In this article, we compute the closed formulae of eccentric-connectivity–based indices and its corresponding polynomial for water-soluble perylenediimides-cored polyglycerol dendrimers. Furthermore, the edge version of eccentric-connectivity index for a new class of dendrimers is determined. The conclusions we obtained in this article illustrate the promising application prospects in the field of bioinformatics and nanomaterial engineering.