Fuzzy equality co-neighborhood domination of graphs

Document Type : Research Paper


1 Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq

2 Department of Mathematics, College of Education for Pure Science, University of Babylon, Babylon, Iraq.

3 Department of Applied Sciences, University of Technology Baghdad, Iraq


In that paper the fuzzy equality co-neighborhood domination and denoted by $\gamma_{en}(G)$ for a new definition of domination was described for the fuzzy graph. This new definition was studied in a strong fuzzy graph and constraints were found for many several graphs. Complementary strong fuzzy graphs of the same graphs were examined and studied in detail.