  Graphical languages are symmetric monoidal categories presented by generators
and equations. The string diagrams notation allows to transform numerous axioms
into low dimension topological rules we are comfortable with as three
dimensional space citizens. This aspect is often referred to by the Only
Topology Matters paradigm (OTM). However OTM remains quite informal and its
exact meaning in terms of rewriting rules is ambiguous. In this paper we define
three precise aspects of the OTM paradigm, namely flexsymmetry, flexcyclicity
and flexibility of Frobenius algebras. We investigate how this new framework
can simplify the presentation of known graphical languages based on Frobenius
algebras.
