22-22 Paul Federbush

Extension of Range of Validity of Pernici's 1/n Conjecture (7K, LaTeX) Apr 29, 22

Abstract , Paper (src), View paper (auto. generated ps), Index of related papers

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].

Files: 22-22.src( 22-22.comments , 22-22.keywords , reborn-mm.tex )