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

    Shahid Zaman1, Ali N. A. Koam2, Ali Al Khabyah2, Ali Ahmad3,*

    CMC-Computers, Materials & Continua, Vol.73, No.3, pp. 6347-6365, 2022, DOI:10.32604/cmc.2022.031958

    Abstract Spanning tree () has an enormous application in computer science and chemistry to determine the geometric and dynamics analysis of compact polymers. In the field of medicines, it is helpful to recognize the epidemiology of hepatitis C virus (HCV) infection. On the other hand, Kemeny’s constant () is a beneficial quantifier characterizing the universal average activities of a Markov chain. This network invariant infers the expressions of the expected number of time-steps required to trace a randomly selected terminus state since a fixed beginning state . Levene and Loizou determined that the Kemeny’s constant can also be obtained through eigenvalues.… More >

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