On the Minimum Variable Connectivity Index of Unicyclic Graphs with a Given Order
Joint Authors
Bhatti, Akhlaq Ahmad
Yousaf, Shamaila
Ali, Akbar
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-18
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The variable connectivity index, introduced by the chemist Milan Randić in the first quarter of 1990s, for a graph G is defined as ∑vw∈EGdv+γdw+γ−1/2, where γ is a non-negative real number and dw is the degree of a vertex w in G.
We call this index as the variable Randić index and denote it by Rvγ.
In this paper, we show that the graph created from the star graph of order n by adding an edge has the minimum Rvγ value among all unicyclic graphs of a fixed order n, for every n≥4 and γ≥0.
American Psychological Association (APA)
Yousaf, Shamaila& Bhatti, Akhlaq Ahmad& Ali, Akbar. 2020. On the Minimum Variable Connectivity Index of Unicyclic Graphs with a Given Order. Discrete Dynamics in Nature and Society،Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1152792
Modern Language Association (MLA)
Yousaf, Shamaila…[et al.]. On the Minimum Variable Connectivity Index of Unicyclic Graphs with a Given Order. Discrete Dynamics in Nature and Society No. 2020 (2020), pp.1-9.
https://search.emarefa.net/detail/BIM-1152792
American Medical Association (AMA)
Yousaf, Shamaila& Bhatti, Akhlaq Ahmad& Ali, Akbar. On the Minimum Variable Connectivity Index of Unicyclic Graphs with a Given Order. Discrete Dynamics in Nature and Society. 2020. Vol. 2020, no. 2020, pp.1-9.
https://search.emarefa.net/detail/BIM-1152792
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152792