Assistant Professor, Vel Tech Ranga Sanku Arts College, Avadi, Chennai
Online published on 3 December, 2019.
In a graph theory we have use basis of the group like abelian group and subgroup for intersection. An intersection containing a non- unit element. We characterize certain classes of subgroup intersection graphs corresponding to finite abelian groups. We check all its solvable groups whose intersection graphs are triangle-free. Surrounded the other results, we analysis all abelian groups whose intersection graphs are complete. Finally, we study the intersection graphs of cyclic groups.
Abelian group, Subgroup, Intersection graph, Trivial, vertex, Isolated, Frobenius, Kernal
