{ "id": "1904.12078", "version": "v1", "published": "2019-04-26T23:59:09.000Z", "updated": "2019-04-26T23:59:09.000Z", "title": "Mutation of type $D$ friezes", "authors": [ "A. Garcia Elsener", "K. Serhiyenko" ], "categories": [ "math.CO", "math.RA" ], "abstract": "In this article we study mutation of friezes of type $D$. We provide a combinatorial formula for the entries in a frieze after mutation. The two main ingredients in the proof include a certain transformation of a type $D$ frieze into a sub pattern of a frieze of type $A$ and the mutation formula for type $A$ friezes recently found by Baur et al.", "revisions": [ { "version": "v1", "updated": "2019-04-26T23:59:09.000Z" } ], "analyses": { "subjects": [ "05E10", "13F60" ], "keywords": [ "combinatorial formula", "study mutation", "main ingredients", "mutation formula" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }