Trends on dominations of fuzzy graphs and anti fuzzy graphs

Abstract

After introducing and developing fuzzy graph theory, a lot of studies have been done in this field. The object of this paper is to demonstrate various Dominations such as Edge domination, Total domination, Strong (weak) domination, Regular domination, connected domination, Split (non-split) domination in fuzzy graphs with their importance and applications in real world. We explored about Inverse Dominations in Fuzzy graphs. Some results are derived to various dominations in Fuzzy graphs. Fuzzy graphs found an increasing number of applications in prevailing science where the information inherent in the system varies with different levels of precision. We prompt some applications in modeling traffic and transportation problems, telecommunications, job allocation and at ATM centers. The wide varieties of domination parameters are defined.