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The Hyper-Wiener Index of Trees of Order n with Diameter d
Joint Authors
Cai, Gaixiang
Cao, Jinde
Yu, Guidong
Alsaadi, Fuad E.
Alsaedi, Ahmed
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-22
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The hyper-Wiener index is a kind of extension of the Wiener index, used for predicting physicochemical properties of organic compounds.
The hyper-Wiener index W W ( G ) is defined as W W ( G ) = 1 / 2 ∑ u , v ∈ V G d G u , v + d G 2 u , v with the summation going over all pairs of vertices in G , and d G u , v denotes the distance of the two vertices u and v in the graph G .
In this paper, we obtain the second-minimum hyper-Wiener indices among all the trees with n vertices and diameter d and characterize the corresponding extremal graphs.
American Psychological Association (APA)
Cai, Gaixiang& Yu, Guidong& Cao, Jinde& Alsaedi, Ahmed& Alsaadi, Fuad E.. 2016. The Hyper-Wiener Index of Trees of Order n with Diameter d. Discrete Dynamics in Nature and Society،Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1103542
Modern Language Association (MLA)
Cai, Gaixiang…[et al.]. The Hyper-Wiener Index of Trees of Order n with Diameter d. Discrete Dynamics in Nature and Society No. 2016 (2016), pp.1-5.
https://search.emarefa.net/detail/BIM-1103542
American Medical Association (AMA)
Cai, Gaixiang& Yu, Guidong& Cao, Jinde& Alsaedi, Ahmed& Alsaadi, Fuad E.. The Hyper-Wiener Index of Trees of Order n with Diameter d. Discrete Dynamics in Nature and Society. 2016. Vol. 2016, no. 2016, pp.1-5.
https://search.emarefa.net/detail/BIM-1103542
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1103542