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Beardon, A. F.; Hockman, M. and Short, I.
(2012).
DOI: https://doi.org/10.1307/mmj/1331222851
Abstract
There are infinitely many ways to express a rational number as a finite continued fraction with numerators 1 and integer denominators. We study the shortest continued fraction expansions for a given rational by interpreting these as geodesic paths in the Farey graph.