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Linear Recurrences for Cylindrical Networks

Research output: Contribution to journal › Article › peer-review

Abstract

We prove a general theorem that gives a linear recurrence for tuples of paths in every cylindrical network. This can be seen as a cylindrical analog of the Lindström-Gessel-Viennot theorem. We illustrate the result by applying it to Schur functions, plane partitions, and domino tilings.

Original languageEnglish (US)
Pages (from-to)4047-4080
Number of pages34
JournalInternational Mathematics Research Notices
Volume2019
Issue number13
DOIs
StatePublished - Jul 1 2019

Bibliographical note

Publisher Copyright:
© 2017 The Author(s) 2017. Published by Oxford University Press. All rights reserved. For permissions, please e-mail: [email protected].

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