Research projects

# Research projects ### [Matematične in računske metode za samosestavljanje poliedrov](https://cris.cobiss.net/ecris/si/sl/project/18244) * dr. Nino Bašić * Funding: ARRS project J1-2481 * Duration: 1.9.2020 - 31.8.2023 * Obseg v 2021: 1.4 FTE The main goal of this project is to further develop existing mathematical models for self-assembly of nanostructures and also create new ones. In particular, we will make heavy use of flag graphs and results from topological graph theory to produce those models. A stronger link between topological graph theory and synthetic biology will be established. All this will be implemented in the form of a user-friendly well-documented library for Python and/or SageMath, which will enable researchers to do various "in silico" experiments. New data structures and algorithms will be developed and incorporated in this software library. This software library will be used to solve several practical self-assembly problems in synthetic biology to demonstrate its usability. Parallelisable algorithms will be developed to enable (computationally intensive) enumerations of strong traces of large polyhedra on multiprocessor systems and computer clusters, which was not possible so far. We will also consider self-assembly of planar nanostructures from the viewpoint of mathematical theory of tilings. The mathematics and software that will be developed will have direct applications in the area of synthetic biology. ### [Primerjava in evalvacija pristopov za bločno modeliranje časovnih omrežij s simulacijami in uporaba na slovenskih so-avtorskih omrežjih](https://cris.cobiss.net/ecris/si/sl/project/18320) ### [Type Theory for Data-Intensive Formalization](https://tydiform.fmf.uni-lj.si/) ### [The Weiss Conjecture and Generalisations](projects/2019-J1-1691.html) * **Funding agency:** [Slovenian research agency (ARRS)](https://www.arrs.si/en/index.asp) * **Project code:** [`J1-1691`](https://cris.cobiss.net/ecris/si/sl/project/17763) * **Principal Investigator:** [Primož Potočnik](https://www.fmf.uni-lj.si/~potocnik/) * **Funding period:** July 2019 — June 2022 ### [Symmetry, fixity and flexibility of graphs](projects/2021-N1-0126.html) * **Funding agency:** [Slovenian research agency (ARRS)](https://www.arrs.si/en/index.asp) * **Project code:** [`N1-0216`](https://cris.cobiss.net/ecris/si/sl/project/17763) * **Principal Investigator:** [Primož Potočnik](https://www.fmf.uni-lj.si/~potocnik/) * **Funding period:** October 2021 — September 2024 ### [Generating, analysing and cataloging symmetric graphs](projects/2022-J1-Potocnik.html) * **Funding agency:** [Slovenian research agency (ARRS)](https://www.arrs.si/en/index.asp) * **Project code:** [`J1-4351`]() * **Principal Investigator:** [Primož Potočnik](https://www.fmf.uni-lj.si/~potocnik/) * **Funding period:** October 2022 — September 2025