Exact formula computing the wiener index on rows of unit cells of the diamond cubic grid connected in a row
Other Title(s)
إيجاد صيغ رياضية لحساب مؤشر وينر لبنية الألماس المكعبة عن طريق حساب مجموع اقصر المسافات التي تربط الرؤوس داخل الرسم البياني الكيميائي
Joint Authors
Source
Palestinian Journal of Technology and Applied Sciences
Issue
Vol. 2019, Issue 2 (31 Jan. 2019), pp.69-81, 13 p.
Publisher
al-Quds Open University Deanship of Scientific Research and Graduate Studies
Publication Date
2019-01-31
Country of Publication
Palestine (West Bank)
No. of Pages
13
Main Subjects
Topics
Abstract EN
The Wiener Index, the sum of distances between all pairs of vertices in a connected graph, is a graph invariant much studied in both mathematical and chemical literature.Topological graph indices are introduced as mathematical tools for molecule descriptions.
Recently, they were computed not only for graphs representing molecules, but for other regular structured graphs including some 2 and 3 dimensional structures.
The Carbon atoms in the diamond are arranged in a well defined structure.
In this paper, the graph of this structure is analysed, especially, the connected part of a sequence of unit cells.
The Wiener index, as the sum of the distances for every pair of atoms is computed, a closed formula depending only on the number of unit cells is proven.
American Psychological Association (APA)
Mujahid, Hamzah& Nagy, Benedek. 2019. Exact formula computing the wiener index on rows of unit cells of the diamond cubic grid connected in a row. Palestinian Journal of Technology and Applied Sciences،Vol. 2019, no. 2, pp.69-81.
https://search.emarefa.net/detail/BIM-860589
Modern Language Association (MLA)
Mujahid, Hamzah& Nagy, Benedek. Exact formula computing the wiener index on rows of unit cells of the diamond cubic grid connected in a row. Palestinian Journal of Technology and Applied Sciences No. 2 (Jan. 2019), pp.69-81.
https://search.emarefa.net/detail/BIM-860589
American Medical Association (AMA)
Mujahid, Hamzah& Nagy, Benedek. Exact formula computing the wiener index on rows of unit cells of the diamond cubic grid connected in a row. Palestinian Journal of Technology and Applied Sciences. 2019. Vol. 2019, no. 2, pp.69-81.
https://search.emarefa.net/detail/BIM-860589
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 80-81
Record ID
BIM-860589