Correction<sup>*</sup>-Reference-Cited by-同舟云学术

Correction^*

Published:2022-05-01 Issue:1 Volume:18 Page:109-124
ISSN:1339-0015
Container-title:Journal of Applied Mathematics, Statistics and Informatics
language:en
Short-container-title:

Author:

Prashanth B.¹,Naik K. Nagendra²,M R. Salestina³

Affiliation:

1. Department of Mathematics , JSS Science and Technology University , Mysuru - , India .

2. Department of Mathematics , Atria Institute of Technology Hebbal , Bangalore - , India .

3. Department of Mathematics , Yuvaraja’s College, University of Mysore , Mysuru , India .

Abstract

Abstract With this article in mind, we have found some results using eigenvalues of graph with sign. It is intriguing to note that these results help us to find the determinant of Normalized Laplacian matrix of signed graph and their coefficients of characteristic polynomial using the number of vertices. Also we found bounds for the lowest value of eigenvalue.

Publisher

Walter de Gruyter GmbH

Subject

General Medicine

Link

https://www.sciendo.com/pdf/10.2478/jamsi-2022-0008

Reference17 articles.

1. A. K. Kel’mans, Properties of the characteristic polynomial of a graph, Kibernetiky na Slŭ Kommunizmu, Emergija, Markova-Leningrand, 4(1967), 27-41(in Russian).

2. B. Prashanth, K. Nagendra Naik, K. R. Rajanna, A remark on eigen values of Signed graph, Journal of Applied Mathematics, Statistics and Informatics15(1) (2019), 33-42. (ISSN (print): 1336-9180,(ISSN (on-line): 1339-0015, Poland)).10.2478/jamsi-2019-0003

3. C. S. Oliveria, N. M. Maia de Abreu, S. Jurkiewicz, The Characteristic Polynomial of the Laplacian of graphs in(a,b)-linear classes, Linear Algebra and its Applications. 356,113-121 (2002), (ISSN:0024-3795).10.1016/S0024-3795(02)00357-9

4. D. Cvetkovic, P. Rowlinson, S. Simi’c: An Introduction to the Theory of Graph Spectra. Cambridge University Press, Cambridge(2010).

5. F. Harary, R. Z. Norman and D. W. Cartwright, Structural models: An introduction to the theory of directed graphs, Wiley Inter-Science, Inc., New York, 1965.