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On the Eccentric Connectivity Polynomial of ℱ-Sum of Connected Graphs
Joint Authors
Imran, Muhammad
Akhter, Shehnaz
Iqbal, Zahid
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-05-31
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The eccentric connectivity polynomial (ECP) of a connected graph G=VG,EG is described as ξcG,y=∑a∈VGdegGayecGa, where ecGa and degGa represent the eccentricity and the degree of the vertex a, respectively.
The eccentric connectivity index (ECI) can also be acquired from ξcG,y by taking its first derivatives at y=1.
The ECI has been widely used for analyzing both the boiling point and melting point for chemical compounds and medicinal drugs in QSPR/QSAR studies.
As the extension of ECI, the ECP also performs a pivotal role in pharmaceutical science and chemical engineering.
Graph products conveniently play an important role in many combinatorial applications, graph decompositions, pure mathematics, and applied mathematics.
In this article, we work out the ECP of ℱ-sum of graphs.
Moreover, we derive the explicit expressions of ECP for well-known graph products such as generalized hierarchical, cluster, and corona products of graphs.
We also apply these outcomes to deduce the ECP of some classes of chemical graphs.
American Psychological Association (APA)
Imran, Muhammad& Akhter, Shehnaz& Iqbal, Zahid. 2020. On the Eccentric Connectivity Polynomial of ℱ-Sum of Connected Graphs. Complexity،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1142231
Modern Language Association (MLA)
Imran, Muhammad…[et al.]. On the Eccentric Connectivity Polynomial of ℱ-Sum of Connected Graphs. Complexity No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1142231
American Medical Association (AMA)
Imran, Muhammad& Akhter, Shehnaz& Iqbal, Zahid. On the Eccentric Connectivity Polynomial of ℱ-Sum of Connected Graphs. Complexity. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1142231
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1142231