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math.CO2021
On the extremal values of the cyclic continuants of Motzkin and Straus
Alessandro De Luca, Luca Q. Zamboni
In a 1983 paper, G. Ramharter asks what are the extremal arrangements for the cyclic analogues of the regular and semi-regular continuants first introduced by T.S. Motzkin and E.G.…
math.CO2021
Continuants with equal values, a combinatorial approach
Gerhard Ramharter, Luca Q. Zamboni
A regular continuant is the denominator of a terminating regular continued fraction, interpreted as a function of the partial quotients. We regard as a function defined on…
math.CO2021★ 28 cited
Extremal values of semi-regular continuants and codings of interval exchange transformations
Alessandro De Luca, Marcia Edson, Luca Q. Zamboni
Given a set of positive integers and a partition , find the extremal denominators of the regular and semi-regular continued fraction $[0;x…