On Commuting Involution Graphs of Meta-cyclic 2-groups
TAN Yanqing
SHEN Rulin
Abstract：For a group G and a conjugacy class x of an involution of G,the commuting graph ΓG(x)of G on x,is the graph whose vertex set is x and distinct vertices x and y having an edge if and only if xy =yx. In this paper,we classify the structure of the commuting involution graph of meta-cyclic 2-groups.
Keywords：commuting involution graphk-regular graphmeta-cyclic 2-group
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：4( 20-23 )