Equitable Cototal and Inverse Equitable Cototal Domination Number of the Jump Graph of a Graph.

A cototal dominating set D subset of V [J(G)] is an equitable cototal dominating set if for every v is an element of V [J (G)] - D there is a u is an element of D with vertical bar deg (u) - deg(v) vertical bar <= 1. The equitable cototal domination number gamma(ect) [J (G)] is the minimum cardinality among all the minimal equitable cototal dominating set of J (G). If < V[J(G)] - D > not equal empty set contains a dominating set D' such that < V [J (G)] - D'> has no isolated vertex and vertical bar deg (c) - deg(d)vertical bar <= 1, then D' is termed as the inverse equitable cototal dominating set of J (G) with respect to D. The inverse equitable cototal domination number gamma(-1)(ect) [J(G)] is the minimum number of vertices contained in any minimal inverse equitable cototal dominating set. This paper contains results, bounds and exact values of these parameters.