The Edge Eccentric Connectivity Index of Armchair Polyhex Nanotubes

2015 ◽  
Vol 12 (11) ◽  
pp. 4455-4458 ◽  
Author(s):  
Ersin Aslan
Keyword(s):  
Connectivity Index ◽  
Eccentric Connectivity Index

On eccentricity-based topological descriptors of water-soluble dendrimers

2018 ◽  
Vol 74 (1-2) ◽  
pp. 25-33 ◽  
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 ◽  
Eccentric Connectivity Index ◽  
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.

scholarly journals A lower bound on the eccentric connectivity index of a graph

2012 ◽  
Vol 160 (3) ◽  
pp. 248-258 ◽  
Author(s):  
M.J. Morgan ◽  
S. Mukwembi ◽  
H.C. Swart
Keyword(s):  
Lower Bound ◽  
Connectivity Index ◽  
Eccentric Connectivity Index

scholarly journals Computing eccentric connectivity index of nanostar dendrimers

2017 ◽  
Vol 10 (2) ◽  
pp. 96-100 ◽  
Author(s):  
Sara Mehdipour ◽  
Mehdi Alaeiyan ◽  
Ali Nejati
Keyword(s):  
Molecular Graph ◽  
Connectivity Index ◽  
Eccentric Connectivity Index ◽  
Degree Of Vertex

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.

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