THE SPLIT DOMINATION NUMBER OF FUZZY GRAPHS

Q. M. Mahyoub (India) and N. D. Soner (India)

Received June 24, 2007

References:

[1] S. Arumugam and S. Ramachandra, Invitation to Graph Theory, 1st ed., 2001. [2] K. R. Bhutani and A. Rosenfeld, Strong arcs in fuzzy graphs, Inform. Sci. 152 (2003), 319-322. [3] J. N. Mordeson and P. S. Nair, Fuzzy Graphs and Fuzzy Hypergraphs, Physica- Verlag, Heidelberg, 2001. [4] A. Somasundaram, Domination in products of fuzzy graphs, Internat. J. Uncertain. Fuzziness Knowledge-Based Systems 2 (2005), 195-204. [5] A. Somasundaram and S. Somasuundaram, Domination in fuzzy graph-I, Pattern Recognition Lett. 19 (1998), 787-791. [6] K. Veerabhadrappa R and B. Janakiram, The split domination number of a graph, Graph Theory Notes N. Y. XXXII (1997), 16-19. [7] H. J. Zimmermann, Fuzzy Set Theory and its Applications, 2nd Revised Edition, Kluwer Academic Publishers, Boston, Massachusetts, 1992.

Keywords and phrases: split domination number, independence split domination number.