Explicit formulas via Chebyshev polynomials for rooted spanning forests in circulant graphs C_n(s1..sk) and C_2n, with f_G(n)=p a(n)^2 and asymptotic via Mahler measure of associated Laurent polynomial.
On conformal moduli of polygonal quadrilaterals
1 Pith paper cite this work. Polarity classification is still indexing.
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abstract
The change of conformal moduli of polygonal quadrilaterals under some geometric transformations is studied. We consider the motion of one vertex when the other vertices remain fixed, the rotation of sides, polarization, symmetrization, and averaging transformation of the quadrilaterals. Some open problems are formulated.
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2019 1verdicts
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The number of rooted forests in circulant graphs
Explicit formulas via Chebyshev polynomials for rooted spanning forests in circulant graphs C_n(s1..sk) and C_2n, with f_G(n)=p a(n)^2 and asymptotic via Mahler measure of associated Laurent polynomial.