科研之友
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摘要
We study analytical and arithmetical properties of the complexity function for infinite families of circulant C (n) (s (1), s (2,aEuro broken vertical bar), s (k) ) C (2n) (s (1), s (2,aEuro broken vertical bar), s (k) , n). Exact analytical formulas for the complexity functions of these families are derived, and their asymptotics are found. As a consequence, we show that the thermodynamic limit of these families of graphs coincides with the small Mahler measure of the accompanying Laurent polynomials.
- 出版日期2018-3
