Volume 66 | Issue 3 | Year 2020 | Article Id. IJMTT-V66I3P502 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I3P502
M. Kavitha, "Strong Independent Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 3, pp. 5-11, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I3P502
[1] Acharya, B.D., The Strong Domination Number of a Graph and Related Concepts, J.Math. Phys. Sci., 14,471-475(1980).
[2] Allan R.B., and Laskar.R.C., On Domination and Independent Domination Number of a Graph, Dicrete Math., 23, 73-76(1978).
[3] Arumugam.S. and Regikumar.K., Basic Minimal Dominating Functions, Utilitas Mathematica, 77, pp. 235-247(2008).
[4] Arumugam.S. and Regikumar.K., Fractional Independence and Fractional Domination Chain in Graphs, AKCE J.Graphs Combin., 4, No.2, pp.161-169(2007).
[5] Arumugam.S. and Sithara Jerry.A., A Note On Independent Domination in Graphs, Bulletin of the Allahabad Mathematical Society, Volume 23, Part 1.(2008).
[6] Arumugam.S. and Sithara Jerry.A., Fractional Edge Domination in Graphs, Appl. Anal. Discrete Math.,(2009).
[7] Berge.C., Theory of Graphs and its Applications, Dunod, Paris(1958).
[8] Berge.C., Graphs and Hypergraphs, North-Holland, Amsterdam(1973).
[9] Cockayne E.J., Dawes R.M. and Hedetniemi.S.T., Total domination in graphs, Networks, 10, 211-219(1980).
[10] Cockayne E.J., Favaron O., Payan C. and Thomasaon A.G., Contributions to the theory of domination, independence and irredundance in graphs, Discrete Math., 33, 249-258(1981).
[11] Cockayne E.J., MacGillivray G. and Mynhardt C.M., Convexity of minimal dominating functions and universal in graphs, Bull. Inst. Combin. Appl., 5, 37-38(1992).
[12] Cockayne E.J. and Mynhardt C.M., Convexity of minimal dominating functions of trees: A survey, Quaestiones Math., 16, 301-317(1993).
[13] Cockayne E.J., MacGillivray G. and Mynhardt C.M., Convexity of minimal dominating functions of trees-II, Discrete Math., 125, 137-146(1994). 7
[14] Cockayne E.J. and Mynhardt C.M., A characterization of universal minimal total dominating functions in trees, Discrete Math., 141, 75-84(1995).
[15] Cockayne.E.J., Fricke.G., Hedetniemi.S.T. and Mynhardt.C.M., Properties of Minimal Dominating Functions of Graphs, Ars Combin., 41,107-115(1995).
[16] Cockayne E.J., MacGillivray G. and Mynhardt C.M., Convexity of minimal dominating functions of trees, Utilitas Mathematica, 48, 129-144(1995).
[17] Cockayne.E.J. and Hedetniemi.S.T., Towards a Theory of Domination in Graphs, Networks, 7,247-261(1977).
[18] Cockayne.E.J. and Mynhardt.C.M., Minimality and Convexity of dominating and related functions in Graphs, A unifying theory, Utilitas Mathematica, 51,145-163(1997).
[19] Cockayne.E.J. and Mynhardt.C.M. and Yu.B., Universal Minimal Total Dominating Functions in Graphs, Networks, 24, 83-90(1994).
[20] Grinstead D. and Slater P.J., Fractional Domination and Fractional Packing in Graphs, Congr., Numer., 71, 153-172(1990).
[21] Harary.F., Graph Theory, Addison-Wesley, Reading, Mass(1969).
[22] Hedetniemi.S.T. and Laskar.R.L., Bibliography on Domination in Graphs and Some Basic Definitions of Domination Parameters, Discrete Math., 86,pp 257-277(1990).
[23] Ore.O, Theory of Graphs, AMS(1962).
[24] Regikumar K., Dominating Functions - Ph.D thesis, Manonmaniam Sundaranar University(2004).
[25] Sampathkumar.E and Pushpa Latha.L., Strong Weak Domination and Domination Balance in a Graph, Discrete Math., 161,235- 242(1996).
[26] Scheinerman E.R. and Ullman D.H., Fractional Graph Theory: A rational approach to the theory of graphs, John Wiley and Sons Inc.,(1997).
[27] Terasa W. Haynes, Stephen T. Hedetneimi, Peter J. Slater, Fundamentals of Domination in Graphs, Marcel Dekker Inc.,(1998).
[28] Terasa W. Haynes, Stephen T. Hedetneimi, Peter J. Slater, Domination in Graphs: Advanced Topics Marcel Dekker Inc., New York(1998).
[29] Yu.B., Convexity of Minimal Total Dominating Functions in Graphs, J.Graph Theory, 24,313-321(1997).