Title of article :
ON CO-MAXIMAL SUBGROUP GRAPH OF Zn
Author/Authors :
Saha, Manideepa Department of Mathematics - Presidency University, Kolkata, India , Biswas, Sucharita Department of Mathematics - Presidency University, Kolkata, India , Das, Angsuman Department of Mathematics - Presidency University, Kolkata, India
Abstract :
The co-maximal subgroup graph Γ(G) of a group G is a graph whose vertices are non-
trivial proper subgroups of G and two vertices H and K are adjacent if HK = G. In this paper, we
study and characterize various properties like diameter, domination number, perfectness, hamiltonicity,
etc. of Γ(Zn).
Keywords :
hamiltonicity , isomorphism , perfect graph
Journal title :
International Journal of Group Theory