The Kemeny’s Constant and Spanning Trees of Hexagonal Ring Network

Spanning tree () has an enormous application in computer science and chemistry to determine the geometric dynamics analysis of compact polymers. In field medicines, it is helpful recognize epidemiology hepatitis C virus (HCV) infection. On other hand, Kemeny’s constant a beneficial quantifier characterizing universal average activities Markov chain. This network invariant infers expressions expected number time-steps required trace randomly selected terminus state since fixed beginning . Levene Loizou determined that can also be obtained through eigenvalues. Motivated by Loizou, we deduced spanning trees hexagonal ring their normalized Laplacian eigenvalues coefficients characteristic polynomial. Based on achieved results, entirely results are for Möbius network.