TY - JOUR
AU - Suhas P. Gade,
PY - 2020/05/15
Y2 - 2020/08/14
TI - Double Domination Number of Subgroup Lattice of a Group
JF - International Journal of Advanced Science and Technology
JA - IJAST
VL - 29
IS - 12s
SE - Articles
DO -
UR - http://sersc.org/journals/index.php/IJAST/article/view/22568
SP - 1037- 1045
AB - A subgroup lattice is a diagram that includes all the subgroups of the group and then if and are subgroups of with and there is no subgroup such that , then appear above and a segment is drawn connecting and . The graph of subgroups lattice is denoted by . A subset of is double dominating set of if for every vertex , , that is in and has at least one neighbour in or and has at least two neighbours in . The double domination number in subgroup lattice is a minimum cardinality of double dominating set. In this paper some upper and sharp bounds on are obtained
ER -