Unidominating Function of A Cycle

Rashmi S B; Indrani Pramod Kelkar; Rajanna K.R

doi:https://doi.org/10.14445/22315373/IJMTT-V66I1P524

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 1 | Year 2020 | Article Id. IJMTT-V66I1P524 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I1P524

Unidominating Function of A Cycle

Rashmi S B, Indrani Pramod Kelkar, Rajanna K.R

Citation :

Rashmi S B, Indrani Pramod Kelkar, Rajanna K.R, "Unidominating Function of A Cycle," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 1, pp. 200-204, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I1P524

Abstract

Unidominating function was introduced by V.Anantha Lakshmi and B.Maheshwari for path, In this paper we present the unidominating function on cycle and determine the unidomination number of cycle. Further we find the number of unidominating function of minimum weight for a cycle graph.

Keywords

Rooted Product graph, Unidominating functions, Unidomination number

References

[1] J.A. Bonday, U.S.R. Murty, Graph theory with applications, Macmillan Press, London ,1976.
[2] B. Chaffin, J.P.Linderman, N.J.A. Sloane, A.R. Wilks, On curling numbers of integer sequences, J.Integer Seq.,16(2013),Article- 13.4.3,1-31.
[3] G. Chartrand, L.Lesniak, Graphs and digraphs ,CRC Press,2000.
[4] Godsil C.D., Mckay B.D., a new graph product and its spectrum, Bulletin of the Australlian mathematical society 18(1) (1978) 21- 28.
[5] J.T.Gross, J.Yellen, Graph theory and its applications, CRC Press,2006
[6] R.Hammack, W.Imrich and S.Klavzar, Handbook of product graphs, CRC Press,2011.
[7] F.Harary, Graph theory ,New Age International, Delhi.,2001
[8] Haynes T.W, Hedetniemi S.T, Slater P.J, Fundementals of domination in graphs , Marcel Dekker , Inc. New York ,1998 .
[9] W. Imrich, S.Klavzar, Product graphs: Structure and recognition,Wiley,2000.
[10] Ore O , Theory of graphs , Amer . Math .Soc. Collaq. Pub., 38 (1962)
[11] Rashmi S B, Dr. Indrani Pramod Kelkar, Domination number of Rooted product graph Pm⨀Cn , Journal of computer and Mathematical Sciences ,Vol.7(9),469-471, September 2016.
[12] Rashmi S B, Dr. Indrani Pramod Kelkar, Total Domination number of Rooted product graph Pm⨀Cn ,International Journal of Advanced Research in Computer science, Volume 8, No.6, July 2017(Special Issue) .zzx
[13] Rashmi S B, Dr. Indrani Pramod Kelkar, Signed domination number of rooted product of a path with cycle graph , International Journal of Mathematical Trends and Techonology, Volume 58, Issue 1-June 2018.
[14] Rashmi S B, Dr. Indrani Pramod Kelkar, Rajanna K R, Signed and Total Signed dominating function of Pm⨀Sn+1 ,International Journal of Pure and Applied Mathematics, Volume 119, No.14 2018, 193-197.
[15] V. Anantha Lakshmi and B. Maheshwari , Unidominating functions of a path , International Journal of Computer Engineering & Technology , Volume 6, Issue 8 , Aug 2015 , pp.11-19.