Discrete Mathematics

Back to list BaDAP profile
Description
There are currently four groups in the team, with leaders: Prof. Monika Pilśniak, Prof. Jakub Przybyło, Prof. Mariusz Woźniak and Prof. Andrzej Żak. The aim of the team's research is to obtain new results in discrete mathematics in its broadest sense, with particular emphasis on those areas in which its members already have significant achievements, but also to initiate interesting research in new topics. Problems currently under consideration include: - colouring of finite and infinite graphs with respect to irregular colouring, majority coloring, conflict-free coloring, breaking automorphisms, - packing and decompositions of graphs, - domination in graphs, - extreme graph theory. Research intensifies in all four strands around open hypotheses and work with PhD students. Publication activity remains at a consistently high level, guaranteeing professional promotions within generally accepted time norms. PhDs are finishing on schedule, one person is preparing for a postdoctoral application, and one for a professorship. In 2024, one person received a professorial appointment in the field of science in the discipline of mathematics.
Cooperation:
A distinctive feature of the team is the high internationalisation of research. Collaborations with mathematicians from foreign universities have resulted in dozens of joint publications in prestigious journals in discrete mathematics between 2020 and 2024 alone. These are mainly from universities in Bordeaux and Orsay (France), Duluth, Auburn and Hamilton (USA), Leoben and Graz (Austria), Kosice (Slovakia), Johannesburg (South Africa), Freiberg (Germany), Hamilton (Canada), Maribor and Kopra (Slovenia), Ostrava (Czech Republic), Messina (Italy), Meshida (Iran) and Istanbul (Turkey), Junhua (China).

Contact

Monika Pilśniak
30-059 Kraków, al. Mickiewicza 30, budynek A4, V piętro, pokój 505
12 617 35 87

Leading unit

Faculty of Applied Mathematics - Department of Discrete Mathematics

Team leader

Pilśniak Monika

Team members

  • Cichacz-Przeniosło Sylwia
  • Cisiński Maciej Oskar
  • Gorzkowska Aleksandra
  • Görlich Agnieszka
  • Grzelec Igor
  • Kalinowski Rafał
  • Kwaśny Jakub
  • Meszka Mariusz
  • Prorok Magdalena
  • Przybyło Jakub
  • Schiermeyer Ingo
  • Stawiski Marcin
  • Suchan Karol
  • Woźniak Mariusz
  • Żak Andrzej

IDUB research areas

  • Technical solutions: from fundamental research, through modelling and design, to prototypes. The application of mathematical, information technology, and electronics tools to macro-, micro-, and nanoscale problems

Keywords

graphdigraphnetworkstabilityoptimizationgraph colouringgraph dominationgraph partition