A note on switching in symmetric n-sigraphs

P. Siva Kota Reddy, B. Prashanth and Kavita S. Permi
Notes on Number Theory and Discrete Mathematics, ISSN 1310–5132
Volume 17, 2011, Number 3, Pages 22–25
Full paper (PDF, 138 Kb)

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Authors and affiliations

P. Siva Kota Reddy
Department of Mathematics, Acharya Institute of Technology
Soladevanahalli, Bangalore-560 090, India

B. Prashanth
Department of Mathematics, Acharya Institute of Technology
Soladevanahalli, Bangalore-560 090, India

Kavita S. Permi
Department of Mathematics, Acharya Institute of Technology
Soladevanahalli, Bangalore-560 090, India

Abstract

In this note, we define switching in a different manner and obtained some results on symmetric n-sigraphs.

Keywords

• Symmetric n–sigraphs
• Symmetric n–marked graphs
• Balance
• Switching
• Complementation

AMS Classification

• 05C22

References

1. Bowlin, G. Maximum frustration of bipartite signed graphs. Ph.D. Thesis, Binghamton University, 2009.
2. Harary, F. Graph Theory, Addison-Wesley Publishing Co., 1969.
3. Lokesha, V., P. S. K. Reddy, S. Vijay. The triangular line n-sigraph of a symmetric n-sigraph, Advn. Stud. Contemp. Math., Vol. 19, 2009. No. 1, 123–129.
4. Rangarajan, R., P. S. K. Reddy. Notions of balance in symmetric n-sigraphs, Proc. Jangjeon Math. Soc., Vol. 11, 2008, No. 2, 145–151.
5. Rangarajan, R., P. S. K. Reddy, M. S. Subramanya. Switching Equivalence in Symmetric n-sigraphs, Adv. Stud. Comtemp. Math., Vol. 18, 2009, No. 1, 79–85.
6. Rangarajan, R., P. S. K. Reddy, N. D. Soner. Switching equivalence in symmetric n-sigraphs-II, J. Orissa Math. Sco., Vol. 28, 2009, No. 1/2, 1–12.
7. Sampathkumar, E., P. S. K. Reddy, M. S. Subramanya. Jump symmetric n-sigraph, Proc. Jangjeon Math. Soc., Vol. 11, 2008, No. 1, 89–95.
8. Sampathkumar, E., P. S. K. Reddy, M. S. Subramanya. The Line n-sigraph of a symmetric n-sigraph, Southeast Asian Bull. Math., Vol. 34, 2010, No. 5, 953–958.
9. Reddy, P. S. K., B. Prashanth. Switching equivalence in symmetric n-sigraphs-I, Adv. Appl. Discrete Math., Vol. 4, 2009, No. 1, 25–32.
10. Reddy, P. S. K., V. Lokesha, Gurunath Rao Vaidya, The Line n-sigraph of a symmetric n-sigraph-II, Proceedings of the Jangjeon Math. Soc., Vol. 13, 2010, No. 3, 305–312.
11. Reddy, P. S. K., V. Lokesha, Gurunath Rao Vaidya, The Line n-sigraph of a symmetric n-sigraph-III, Int. J. Open Problems in Computer Science and Mathematics, Vol. 3, 2010, No. 5, to appear.
12. Reddy, P. S. K., V. Lokesha, Gurunath Rao Vaidya, Switching equivalence in symmetric n-sigraphs-III, Int. Journal of Math. Sci. & Engg. Appls., Vol. 5, 2011, No. 1, 95–101.