On weighted noncorona graphs with properties R and −SR
Joint Authors
Hamid, Sarah
Ahmad, Uzma
Akhter, Sadia
Source
Issue
Vol. 50, Issue 2 A (30 Apr. 2023), pp.1-12, 12 p.
Publisher
Kuwait University Academic Publication Council
Publication Date
2023-04-30
Country of Publication
Kuwait
No. of Pages
12
Main Subjects
Abstract EN
Let Gw be a simple weighted graph with adjacency matrix A(Gw).
The set of all eigenvalues of A(Gw) is called the spectrum of weighted graph Gw denoted by σ(Gw).
The reciprocal eigenvalue property (or property R) for a connected weighted nonsingular graph Gw is defined as, if η ∈ σ(Gw) then 1 η ∈ σ(Gw).
Further, if η and 1 η have the same multiplicities for each η ∈ σ(Gw) then this graph is said to have strong reciprocal eigenvalue property (or property SR).
Similarly, a connected weighted nonsingular graph Gw is said to have anti-reciprocal eigenvalue property (or property −R) if η ∈ σ(Gw) then − 1 η ∈ σ(Gw).
Furthermore, if η and − 1 η have the same multiplicities for each η ∈ σ(Gw) then strong anti-reciprocal eigenvalue property (or property −SR) holds for the weighted graph Gw.
In this article, classes of weighted noncorona graphs satisfying property R and property −SR are studied.
American Psychological Association (APA)
Ahmad, Uzma& Hamid, Sarah& Akhter, Sadia. 2023. On weighted noncorona graphs with properties R and −SR. Kuwait Journal of Science،Vol. 50, no. 2 A, pp.1-12.
https://search.emarefa.net/detail/BIM-1501114
Modern Language Association (MLA)
Ahmad, Uzma…[et al.]. On weighted noncorona graphs with properties R and −SR. Kuwait Journal of Science Vol. 50, no. 2 A (Apr. 2023), pp.1-12.
https://search.emarefa.net/detail/BIM-1501114
American Medical Association (AMA)
Ahmad, Uzma& Hamid, Sarah& Akhter, Sadia. On weighted noncorona graphs with properties R and −SR. Kuwait Journal of Science. 2023. Vol. 50, no. 2 A, pp.1-12.
https://search.emarefa.net/detail/BIM-1501114
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references : p. 11-12
Record ID
BIM-1501114