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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P513

A Note On Ideal Signed Graph


Ruby Salestina M , B.Prashanth
Abstract

In this paper we define Ideal signed graph of a signed graph and given some characterization.

Keywords
signed graphs, Marked graphs, balance, Switching, Antipodal graph.
References

[1] T. Zaslavsky, Signed Graphs, Discrete Appl. Math., 4(1)(1982), 47--74.
[2] F. Harary, Graph Theory, Addison-Wesley Publishing Co., 1969.
[3] F. Harary, On the notion of balance of a signed graph, Michigan Math. J., 2(1953), 143-146.
[4] E. Sampathkumar, P. S. K. Reddy, and M. S.Subramanya, Jump symmetric n-sigraph, \textitProc. JangjeonMath. Soc., 11(1) (2008), 89-95.
[5] R. P. Abelson and M. J. Rosenberg, Symoblic psychologic:A model ofattitudinal cognition, Behav. Sci., 3 (1958), 1-13.
[6] E. Sampathkumar, P. S. K. Reddy, and M. S.Subramanya, The Line n-sigraph of a symmetric n-sigraph,
[7] Southeast Asian Bull. Math., 34(5) (2010), 953-958.
[8] R. Rangarajan and P. S. K. Reddy, Notions ofbalance in symmetric n-sigraphs, \textitProc. Jangjeon Math.Soc., 11(2) (2008), 145-151.
[9] T. Zaslavsky, A mathematical bibliography of signed and gain graphs and its allied areas, ElectronicJ. Combin., 8(1)(1998), Dynamic Surveys (1999), No. DS8.
[10] R. Manoharan R. Manisekaran and R. Vasuki, Ideal graph of a graph, \textitInternational J. Math. Combin., 3(1)(2011),11-16.
[11] E. Sampathkumar, point signed and line signed graphs, Nat. Acad. Sci. Letters, 7(3) (1984), 91-93.

Citation :

Ruby Salestina M , B.Prashanth, "A Note On Ideal Signed Graph," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 82-84, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P513

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