GReGAS - Geometrijske reprezentacije in simetrije grafov, preslikav in drugih diskretnih struktur ter aplikacij v znanosti (Slovene)

This was a prestigious project awarded by European Science Foundation under EUROCORES/EuroGIGA programme. It is important because it is one of the rare projects in the EUROCORES programme with the project leader from Slovenia. This is an important recognition of Slovenian graph theory schools, that started many decades ago with T. Pisanski being a pioneer. Several new scientific results have been achieved in this field, by senior scientists as well as young ones, thus indicating the strength and the importance of the Slovenian graph theory. Four of seven mathematical research programmes work in this field, while three most established ones took part in the project. All three main Slovenian universities were involved. Networking activities organized within the project contributed to further development of the scientific collaboration network and increasing our research impact. Successful cooperation with the partners from industry opened new opportunities for a more focused research with higher impact motivated by real-world problems in large network analysis, social networks and transportation networks. Working on topic related to the project several new young researchers were raised. Some of the publications were published in top journals in the field.

The project awarded by European Science Foundation to a Slovenian leader represents a high level of recognition to Slovenia - through the established mathematical field of graph theory. The project thus contributed additional increase of the visibility of Slovenia in this field. Beside the academic institutions, a successful hi-tech company Abelium was involved as a partner, a spin-off from the research group and the programme P1-0294, lead by T. Pisanski. This has contributed to bridging the gap between business and research, especially in the fields of network analysis in social and transportation networks. Top scientific knowledge, competences and skills are systematically used and upgraded during development of hi-tech solutions - the ones the company have received several innovation awards in the past years (GoOpti, iOliva). In the past few years Slovenian graph theory received additional recognition through Ars Mathematica Contemporanea, the first Slovenian mathematical scientific journal being indexed by SCI (since 2011). In addition, T. Pisanski was accepted to Academia Europae. Pajek, a large network analysis tool, was recognized as one of the top academic tools in the field and received the INSNA's 2013 William D. Richards Software award, by International Network for Social Network Analysis. The strategy of achieving scientific excellence of Slovenian graph theory was successfully carried out during the course of the project, additionally opening new opportunities for achieving better integration with business thus having higher economic relevance.