An algorithm for the generation of all possible combinatorial multivector fields on cubical complexes

The researchers of the Faculty of Mathematics and Computer Science at the Jagiellonian University of Krakow have recently developed a new topology structure, called combinatorial multivector field, which has interesting characteristics useful to study dynamic systems. The aim of the thesis is to design, together with a formal mathematical documentation, an algorithm for the generation of all possible combinatorial multivector fields on cubical complex. Moreover we show two different implementations of the algorithm, analysing the results of a computation we did on a specific complex for a project which aims to study the dynamic of gene regulatory networks.