TY - JOUR
AU - Nath, Rajat Kanti
AU - Dutta, Jutirekha
PY - 2017/09/20
Y2 - 2023/01/27
TI - Spectrum of commuting graphs of some classes of finite groups
JF - MATEMATIKA: Malaysian Journal of Industrial and Applied Mathematics
JA - MATEMATIKA: MJIAM
VL - 33
IS - 1
SE - Articles
DO - 10.11113/matematika.v33.n1.812
UR - https://matematika.utm.my/index.php/matematika/article/view/812
SP - 87-95
AB - <p>In this paper, we initiate the study of spectrum of the commuting graphs of finite non-abelian groups. We first compute the spectrum of this graph for several classes of finite groups, in particular AC-groups. We show that the commuting graphs of finite non-abelian AC-groups are integral. We also show that the commuting graph of a finite non-abelian group G is integral if G is not isomorphic to the symmetric group of degree 4 and the commuting graph of G is planar. Further, it is shown that the commuting graph of G is integral if its commuting graph is toroidal.</p>
ER -