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dc.contributor.authorSchiffler, Ralf
dc.contributor.editorMunday, Sara
dc.contributor.editorCederbaum, Carla
dc.date.accessioned2019-02-13T09:57:05Z
dc.date.available2019-02-13T09:57:05Z
dc.date.issued2019-02-13
dc.identifier.urihttp://publications.mfo.de/handle/mfo/1405
dc.description.abstractA continued fraction is a way of representing a real number by a sequence of integers. We present a new way to think about these continued fractions using snake graphs, which are sequences of squares in the plane. You start with one square, add another to the right or to the top, then another to the right or the top of the previous one, and so on. Each continued fraction corresponds to a snake graph and vice versa, via “perfect matchings” of the snake graph. We explain what this means and why a mathematician would call this a combinatorial realization of continued fractions.en_US
dc.language.isoenen_US
dc.publisherMathematisches Forschungsinstitut Oberwolfachen_US
dc.relation.ispartofseriesSnapshots of modern mathematics from Oberwolfach;2019,01
dc.rightsAttribution-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nd/4.0/*
dc.titleSnake graphs, perfect matchings and continued fractionsen_US
dc.typeArticleen_US
dc.identifier.doi10.14760/SNAP-2019-001-EN
local.series.idSNAP-2019-001-ENen_US
local.subject.snapshotAlgebra and Number Theoryen_US
local.subject.snapshotDiscrete Mathematics and Foundationsen_US
dc.identifier.urnurn:nbn:de:101:1-2019022712125053523984
dc.identifier.ppn1655533916


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Attribution-NoDerivatives 4.0 International
Except where otherwise noted, this item's license is described as Attribution-NoDerivatives 4.0 International