Paul Federbush
Extension of Range of Validity of Pernici's 1/n Conjecture
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ABSTRACT. We understand Pernici's 1/n conjecture to be eqs. (16) and (17) of his paper "Expansion for the Number of Matchings on Regular Graphs and Monomer-Dimer Entropy", [1]. We have proven a generalized form of eq. (16) in [2]. In this note we extend the range of validity of (17) from j < 101, r < 11, shown by computer computation in [1], with the range j < 30, all r, also by computer computation. Naturally we are using the notation of [1].