Project
Mathematical Institute
International Projects
FDMSL - Frequency and declensional morphology in Slavic languages (Russian, Slovak and Slovene)
Frekvencia a skloňovanie v slovanských jazykoch (ruština, slovenčina, slovinčina)
| Duration: | 1. 4. 2021 - 31. 12. 2023 |
| Program: | Medzivládna dohoda |
| Project leader: | doc. Mgr. Mačutek Ján PhD. |
National Projects
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Algebrické a topologické aspekty agregačných funkcií
| Duration: | 1. 1. 2020 - 31. 12. 2023 |
| Program: | VEGA |
| Project leader: | RNDr. Pócs Jozef PhD. |
Efficient computation methods for nanoscale material characterization
Efektívne výpočtové metódy pre charakterizáciu materiálov v nanomierke
| Duration: | 1. 7. 2022 - 30. 6. 2025 |
| Program: | APVV |
| Project leader: | prof. RNDr. Wimmer Gejza DrSc. |
Graph invariants, symmetries and labellings
Grafové invarianty, symetrie a ohodnotenia
| Duration: | 1. 1. 2020 - 31. 12. 2023 |
| Program: | VEGA |
| Project leader: | prof. RNDr. Nedela Roman DrSc. |
Chromatic Problems and Polynomials
Chromatické problémy a polynómy
| Duration: | 1. 1. 2022 - 31. 12. 2025 |
| Program: | VEGA |
| Project leader: | RNDr. Kochol Martin PhD., DSc. |
| Annotation: | Chromatic problems on graphs lie at the heart of graph theory, a discipline on the border of discrete mathematics, combinatorial optimization and computer science. These problems are important for understanding structure of graphs and complexity of discrete algorithms By its study are used cycles in graphs, linear algebra, groups, optimization and other techniques. Nowhere-zero flows in graphs present a dual form for graph coloring problems. The numbers of colorings and nowhere-zero flows in graphs are evaluated by chromatic and flow polynomials, respectively. The aim of the project is to study various problems related to graph colorings. We plan to study interpretations of the Tutte polynomials and relations among them. We plan to introduce and study polynomials evaluating nonhomogenous variants of nowhere-zero flows on graphs and plan to study colorings of hypergraphs. |
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InoCHF – výskum a vývoj v oblasti inovatívnych technológií v manažmente pacientov s CHF
| Duration: | 1. 3. 2022 - 30. 9. 2023 |
| Program: | Štrukturálne fondy EÚ Zdravotníctvo |
| Project leader: | doc. RNDr. Nemoga Karol CSc. |
| Project web page: | https://www.mat.savba.sk/musav/projekty/NFP-BWH2 |
Classification using ensembles of neural networks
Klasifikácia ansámblami z neurónových sietí
| Duration: | 1. 1. 2022 - 31. 12. 2025 |
| Program: | VEGA |
| Project leader: | doc. Šuch Ondrej PhD., M.Sc. |
Qualitative properties and bifurcations of differential equations and dynamical system
Kvalitatívne vlastnosti a bifurkácie diferenciálnych rovníc a dynamických systémov
| Duration: | 1. 1. 2020 - 31. 12. 2023 |
| Program: | VEGA |
| Project leader: | prof. RNDr. Fečkan Michal DrSc. |
Mathematical models of non-classical events and uncertainty
Matematické modely neklasických javov a neurčitosti
| Duration: | 1. 1. 2020 - 31. 12. 2023 |
| Program: | VEGA |
| Project leader: | Mgr. Jenčová Anna DrSc. |
The optimization model of natural gas transportation
Model pre optimalizáciu prepravy zemného plynu
| Duration: | 1. 1. 1999 - |
| Program: | Vnútroústavné |
| Project leader: | RNDr. Žáčik Tibor CSc. |
Models and algorithms for computing with incomplete information
Modely a algoritmy pre výpočty s neúplnou informáciou
| Duration: | 1. 1. 2020 - 31. 12. 2023 |
| Program: | VEGA |
| Project leader: | RNDr. Dobrev Stefan PhD. |
ORBIS - Ontological representation for security of information systems
Ontologická reprezentácia pre bezpečnosť informačných systémov
| Duration: | 1. 7. 2020 - 30. 6. 2024 |
| Program: | APVV |
| Project leader: | doc. RNDr. Nemoga Karol CSc. |
MATHMER - Advanced mathematical and statistical methods for measument and metrology
Pokročilé matematické a štatistické metódy pre meranie a metrológiu
| Duration: | 1. 7. 2022 - 31. 12. 2025 |
| Program: | APVV |
| Project leader: | prof. RNDr. Wimmer Gejza DrSc. |
QUANTPROBALG - Probabilistic, Algebraic and Quantum Mechanical Methods of Uncertainty Determination
Pravdepodobnostné, algebrické a kvantovo-mechanické metódy určovania neurčitosti
| Duration: | 1. 7. 2021 - 30. 6. 2025 |
| Program: | APVV |
| Project leader: | prof. RNDr. Dvurečenskij Anatolij DrSc. |
| Annotation: | Using the latest methods of quantum structures we study mathematical foundations of quantum mechanics and of quantum measurements. We deepen our knowledge about partial and total algebras like effect algebras, MValgebras, synaptic algebras, orthomodular lattices, BL-algebras, EMV-algebras, wEMV-algebras, residuated lattices and their non-commutative generalizations and states on them with respect to partially ordered groups. Methods of the theory of categories clarify specific properties of quantum structures. Aggregation methods we will be used to combine selected values of measurements into one aggregation function. Uncertainty contained in quantum measurements will be analyze from the point of view of states, quantum channels will be aimed at quantum mechanics, quantum information theory and for description of measures of non-compatibilities. |
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Príprava Národného programu kvantových technológií SR
| Duration: | 1. 1. 2018 - |
| Program: | ŠPVV |
| Project leader: | doc. RNDr. Nemoga Karol CSc. |
Probability Distributions and their Applications in Modeling and Testing
Rozdelenia pravdepodobnosti a ich aplikácie v modelovaní a testovaní
| Duration: | 1. 1. 2021 - 31. 12. 2023 |
| Program: | VEGA |
| Project leader: | doc. Mgr. Mačutek Ján PhD. |
TOPFUN - Topological structures and spaces of functions
Topologické štruktúry a priestory funkcií
| Duration: | 1. 7. 2021 - 30. 6. 2025 |
| Program: | APVV |
| Project leader: | doc. RNDr. Holá Ľubica DrSc. |
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Topologické štruktúry na priestoroch funkcií
| Duration: | 1. 1. 2021 - 31. 12. 2024 |
| Program: | VEGA |
| Project leader: | doc. RNDr. Holá Ľubica DrSc. |
ESTRUD - Exceptional structures in discrete mathematics
Výnimočné štruktúry v diskrétnej matematike
| Duration: | 1. 7. 2020 - 30. 6. 2024 |
| Program: | APVV |
| Project leader: | prof. RNDr. Nedela Roman DrSc. |
RPDTCTS - Research the possibility of digital transformation of continuous transport systems
Výskum možnosti digitálnej transformácie kontinuálnych dopravných systémov
| Duration: | 1. 7. 2022 - 30. 6. 2026 |
| Program: | APVV |
| Project leader: | prof. RNDr. Wimmer Gejza DrSc. |
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Využitie konceptu digitálneho dvojčaťa v manažmente zdravotného stavu rizikových skupín tehotných žien
| Duration: | 1. 6. 2022 - 31. 12. 2023 |
| Program: | Vnútroústavné |
| Project leader: | doc. RNDr. Nemoga Karol CSc. |
Projects total: 21