Title: General tête-à-tête graphs and Seifert manifolds,
Abstract: Tête-à-tête graphs and relative tête-à-tête graphs were
introduced by N. A'Campo in 2010 to model monodromies of isolated plane curves.
By recent workof Fdez de Bobadilla, Pe Pereira and the author, they provide a
way of modeling the periodic mapping classes that leave some boundary component
invariant. In this work we introduce the notion of general tête-à-tête
graph and prove that they model all periodic mapping classes. We also describe
algorithms that take a Seifert manifold and a horizontal surface and return a
tête-à-tête graph and vice versa.