Two-out degree equitable domination in graphs

An equitable domination has interesting application in the context‎ ‎of social networks‎. ‎In a network‎, ‎nodes with nearly equal capacity‎ ‎may interact with each other in a better way‎. ‎In the society‎ ‎persons with nearly equal status‎, ‎tend to be friendly‎. ‎In this‎ ‎paper‎, ‎we introduce new variant of equitable domination of a‎ ‎graph‎. ‎Basic properties and some interesting results have been‎ ‎obtained‎.

Keywords:

Equitable Domination Number , Two-Out Degree Minimal Two-Out Degree Equitable Dominating set , Two-Out Degree Equitable Domatic Partition