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A Relation between D-Index and Wiener Index for r-Regular Graphs
Joint Authors
Ali, Ahmed Mohammed
Aziz, Asmaa Salah
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-02-22
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
For any two distinct vertices u and v in a connected graph G, let lPu,v=lP be the length of u−v path P and the D–distance between u and v of G is defined as: dDu,v=minplP+∑∀y∈VPdeg y, where the minimum is taken over all u−v paths P and the sum is taken over all vertices of u−v path P.
The D-index of G is defined as WDG=1/2∑∀v,u∈VGdDu,v.
In this paper, we found a general formula that links the Wiener index with D-index of a regular graph G.
Moreover, we obtained different formulas of many special irregular graphs.
American Psychological Association (APA)
Ali, Ahmed Mohammed& Aziz, Asmaa Salah. 2020. A Relation between D-Index and Wiener Index for r-Regular Graphs. International Journal of Mathematics and Mathematical Sciences،Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1172677
Modern Language Association (MLA)
Ali, Ahmed Mohammed& Aziz, Asmaa Salah. A Relation between D-Index and Wiener Index for r-Regular Graphs. International Journal of Mathematics and Mathematical Sciences No. 2020 (2020), pp.1-6.
https://search.emarefa.net/detail/BIM-1172677
American Medical Association (AMA)
Ali, Ahmed Mohammed& Aziz, Asmaa Salah. A Relation between D-Index and Wiener Index for r-Regular Graphs. International Journal of Mathematics and Mathematical Sciences. 2020. Vol. 2020, no. 2020, pp.1-6.
https://search.emarefa.net/detail/BIM-1172677
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1172677