Kirchhoff index of hexagonal Möbius graphs

We study the Kirchhoff index on hexagonal Möbius graphs HM
n
. Due to the Laplacian polynomial decomposition theorem, the Laplacian spectrum of HM
n
consists of the Laplacian spectrum of cycle C
2n
and eigenvalues of a symmetric quasi-tridiagonal matrix L
S
of order 2n. Finally, an evident formula for Kirchhoff index of HM
n
is given in terms of the index n.