Bipolar fuzzy graphs with applications

The concepts of neighbourly irregular bipolar fuzzy graphs, neighbourly totally irregular bipolar fuzzy graphs, highly irregular bipolar fuzzy graphs and highly totally irregular bipolar fuzzy graphs are introduced and investigated. A necessary and sufficient condition under which neighbourly irregular and highly irregular bipolar fuzzy graphs are equivalent is discussed. The notion of bipolar fuzzy digraphs is introduced. The bipolar fuzzy influence graph of a social group is also described.