A remark on eigen values of signed graph

B. Prashanth; K. Nagendra Naik; K. R. Rajanna

doi:10.2478/jamsi-2019-0003

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A remark on eigen values of signed graph

Journal of Applied Mathematics, Statistics and Informatics

Volume 15 (2019): Issue 1 (May 2019)

By: B. Prashanth, K. Nagendra Naik and K. R. Rajanna

Open Access

|Jun 2019

Abstract

In this paper we present some results using eigen values of signed graph. This precipitate to find the determinant of signed graph using the number of vertices.

References

R. P. Abelson and M. J. Rosenberg, Symbolic psychologic:A model of attitudinal cognition, Behav. Sci., 3 (1958), 1-13.
Search in Google Scholar Back to article
T. Zaslavsky, signed graphs, Discrete Appl. Math., 4(1)(1982), 47-74.
Search in Google Scholar Back to article
T. Zaslavsky, A mathematical bibliography of signed and gain graphs and its allied areas, Electronic J. Combin., 8(1)(1998), Dynamic Surveys (1999), No. DS8.
Search in Google Scholar Back to article
F. Harary, Graph Theory, Addison-Wesley Publishing Co., 1969.
Search in Google Scholar Back to article
D. W. Cartwright and F. Harary, Structural balance: A generalization of Heider’s Theory, Psych. Rev., 63(1956), 277-293.
Search in Google Scholar Back to article
G. T. Chartrand, Graphs as Mathematical Models, Prindle, Weber & Schmidt, Inc., Boston, Massachusetts 1977.
Search in Google Scholar Back to article
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.
Search in Google Scholar Back to article
O. Katai and S. Iwai, Studies on the balancing, the minimal balancing, and the minimum balancing processes for social groups with planar and nonplanar graph structures, J. Math. Psychol., 18(1978), 140-176.
Search in Google Scholar Back to article
F. S. Roberts, Graph Theory and its Applications to Problems of Society, SIAM, Philadelphia, PA, USA, 1978.
Search in Google Scholar Back to article
F. S. Roberts and Shaoji Xu, Characterizations of consistent marked graphs, Discrete Applied Mathematics, 127(2003), 357-371.
Search in Google Scholar Back to article
F. Harary, On the notion of balance of a signed graph, Michigan Math. J., 2(1953), 143-146.
Search in Google Scholar Back to article
E. Sampathkumar, Point signed and line signed graphs, Nat. Acad. Sci. Letters, 7(3) (1984), 91-93.
Search in Google Scholar Back to article
P. Siva Kota Reddy, B. Prashanth, and Kavitha. S.Permi, A note on antipodal signed graphs, International J. Math. Combin., 1(2011),107-112.
Search in Google Scholar Back to article
Y. Hou, J. Li and Y. Pan (2003) On the Laplacian Eigenvalues of signed graphs, Linear and Multilinear Algebra,51:1, 21-30, DOI:10.1080/0308108031000053611
Search in Google Scholar Back to article
F. Belardo, S. K. Simič, On the Laplacian coefficients of signed graphs, Linear Algebra and Its Applications, 475(2015),94-113
Search in Google Scholar Back to article
F. Harary and J.A. Kabell, Counting balanced signed graphs using marked graphs, Proc. Edinburgh Math. Soc., 24 (2)(1981),99-104.
Search in Google Scholar Back to article
T. Zaslavsky (1982). signed graphs. Discrete Appl. Math., 4, 4774.
Search in Google Scholar Back to article

Articles in this issue

DOI: https://doi.org/10.2478/jamsi-2019-0003 | Journal eISSN: 1339-0015 | Journal ISSN: 1336-9180

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Language: English

Page range: 33 - 42

Published on: Jun 22, 2019

Published by: University of Ss. Cyril and Methodius in Trnava

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

balance,

Related subjects:

Information technology,

Mathematics,

Logic and set theory,

Probability and statistics,

Applied mathematics

© 2019 B. Prashanth, K. Nagendra Naik, K. R. Rajanna, published by University of Ss. Cyril and Methodius in Trnava
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 15 (2019): Issue 1 (May 2019)