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The notion of mutation plays crucial roles in representation theory ofalgebras. Two kinds of mutation are well-known: tilting/silting mutation andquiver-mutation. In this paper, we focus on tilting mutation for symmetricalgebras. Introducing mutation of SB quivers, we explicitly give acombinatorial description of tilting mutation of symmetric special biserialalgebras. As an application, we generalize Rickard's star theorem. We alsointroduce flip of Brauer graphs and apply our results to Brauer graph algebras.

Derived equivalences between symmetric special biserial algebras