%0 Journal Article %T On the nilpotent conjugacy class graph of groups %A A. Erfanian %A A. Mohammadian %J - %D 2017 %R DOI Code: 10.1285/i15900932v37n2p77 %X The nilpotent conjugacy class graph (or NCC-graph) of a group is a graph whose vertices are the nontrivial conjugacy classes of such that two distinct vertices and are adjacent if is nilpotent for some and . We discuss on the number of connected components as well as diameter of connected components of these graphs. Also, we consider the induced subgraph of the NCC-graph with vertices set , where , and classify all finite non-nilpotent group with empty and triangle-free NCC-graphs %K Triangle-free %K conjugacy class %K non-nilpotent group %K graph %U http://siba-ese.unisalento.it/index.php/notemat/article/view/18697