Spectral Properties with the Difference between Topological Indices in Graphs
Joint Authors
Jahanbani, Akbar
Hasni, Roslan
Du, Zhibin
Sheikholeslami, Seyed Mahmoud
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-07-26
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Let G be a graph of order n with vertices labeled as v1,v2,…,vn.
Let di be the degree of the vertex vi, for i=1,2,…,n.
The difference adjacency matrix of G is the square matrix of order n whose i,j entry is equal to di+dj−2−1/didj if the vertices vi and vj of G are adjacent or vivj∈EG and zero otherwise.
Since this index is related to the degree of the vertices of the graph, our main tool will be an appropriate matrix, that is, a modification of the classical adjacency matrix involving the degrees of the vertices.
In this paper, some properties of its characteristic polynomial are studied.
We also investigate the difference energy of a graph.
In addition, we establish some upper and lower bounds for this new energy of graph.
American Psychological Association (APA)
Jahanbani, Akbar& Hasni, Roslan& Du, Zhibin& Sheikholeslami, Seyed Mahmoud. 2020. Spectral Properties with the Difference between Topological Indices in Graphs. Journal of Mathematics،Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1188151
Modern Language Association (MLA)
Jahanbani, Akbar…[et al.]. Spectral Properties with the Difference between Topological Indices in Graphs. Journal of Mathematics No. 2020 (2020), pp.1-10.
https://search.emarefa.net/detail/BIM-1188151
American Medical Association (AMA)
Jahanbani, Akbar& Hasni, Roslan& Du, Zhibin& Sheikholeslami, Seyed Mahmoud. Spectral Properties with the Difference between Topological Indices in Graphs. Journal of Mathematics. 2020. Vol. 2020, no. 2020, pp.1-10.
https://search.emarefa.net/detail/BIM-1188151
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1188151