Modified Zagreb Connection Indices for Benes Network and Related Classes. (28th March 2022)
- Record Type:
- Journal Article
- Title:
- Modified Zagreb Connection Indices for Benes Network and Related Classes. (28th March 2022)
- Main Title:
- Modified Zagreb Connection Indices for Benes Network and Related Classes
- Authors:
- Wang, Wenhu
Nisar, Asma
Fahad, Asfand
Qureshi, Muhammad Imran
Alameri, Abdu - Other Names:
- Ali Gohar Academic Editor.
- Abstract:
- Abstract : The study of networks such as Butterfly networks, Benes networks, interconnection networks, David-derived networks through graph theoretical parameters is among the modern trends in the area of graph theory. Among these graph theoretical tools, the topological Indices TIs have been frequently used as graph invariants. TIs are also the essential tools for quantitative structure activity relationship (QSAR) as well as quantity structure property relationships (QSPR). TIs depend on different parameters, such as degree and distance of vertices in graphs. The current work is devoted to the derivation of 2-distance based TIs, known as, modified first Zagreb connection index ZC 1 ∗ and first Zagreb connection index ZC 1 for r − dimensional Benes network and some classes generated from Benes network. The horizontal cylindrical Benes network HCB r, vertical cylindrical Benes network VCB r, and toroidal Benes network TB r are the three classes generated by identifying the vertices of the first row with the last row, the first column with the last column of the Benes network. The obtained results are also analyzed through graphical tools.
- Is Part Of:
- Journal of mathematics. Volume 2022(2022)
- Journal:
- Journal of mathematics
- Issue:
- Volume 2022(2022)
- Issue Display:
- Volume 2022, Issue 2022 (2022)
- Year:
- 2022
- Volume:
- 2022
- Issue:
- 2022
- Issue Sort Value:
- 2022-2022-2022-0000
- Page Start:
- Page End:
- Publication Date:
- 2022-03-28
- Subjects:
- Mathematics -- Periodicals
Mathematics
Periodicals
510 - Journal URLs:
- https://www.hindawi.com/journals/jmath/ ↗
http://bibpurl.oclc.org/web/74492 ↗
http://search.ebscohost.com/direct.asp?db=a9h&jid=%22FV7F%22&scope=site ↗ - DOI:
- 10.1155/2022/8547332 ↗
- Languages:
- English
- ISSNs:
- 2314-4629
- Deposit Type:
- Legaldeposit
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD Digital store
- Ingest File:
- 21509.xml