Irredundant complete cototal dominating set

Abstract

The complete cototal domination set is said to be irredundant complete cototal dominating set if for each u ∈ S, NG [S − {u}] ≠ [S]. The minimum cardinality taken over all an irredundant complete dominating set is called an irredundant complete cototal domination number and is denoted by γircc(G). Here a new domination parameter called an irredundant complete cototal dominating set was introduced and the study of bounds of γircc(G) was initiated.