  In this paper we compare quasi graphs and generalized $\sin(1/x)$-type
continua - two classes that generalize topological graphs and contain the
Warsaw circle as a non-trivial element. We show that neither class is the
subset of the other, provide the characterization and present illustrative
examples. We unify both approaches by considering the class of tranched graphs,
connect it with objects found in literature and describe how the topological
structure of its elements restricts possible dynamics.
