Research

Research databases and networks

Main overview can be read off from major databases.

• Researcher ID
• ORCID
• Researchgate
• Google scholar

Main areas of interests

My research is divided into several areas. The first area is represented by combinatorial theory of complex networks. This deals mainly with research of graph theoretical properties of complex networks or corresponding models.

• Extremal propeerties of CN characteristics
• Specific properties of CN such as sparsity or clustered nature
• Algorithms for CN

Another topic from graph theory is the analysis of symmetrical relational structures and particularly those meeting homogeneity condition. Within this area the interesting parts are:

• Homomorphism-homogeneity of various structures
• Classes defined by various types of homogeneity
• Relational and lift complexity

Another area is area of interval optimization, where the main areas are:

• Extending linear algebra with interval aritmetics
• Solvability of interval (linear) systems

Last area is that of dynamical systems with application to neurology, climatology, and cybersecurity where the main area of interests are:

• Reliability of complex network construction
• Modelling of complex network and graph limits
• Utilization of complex network measure to analyse real-world phenomena

The results from these areas can be found at publication page.

Participation in grant projects

• ERC DYNASNET - ERC Synergy Grant
  Dynamics and Structure of Networks, see pages.
• GACR 19-11753S - Czech Science Foundation standard research grant
  Computational neuroscience grant in cooperative with Institute of Physiology
• GACR 19-16066S - Czech Science Foundation standard research grant
  Nonlinear interaction and information transfer in complex systems
• FP7 BRAINSYNCH - EU 7th Framework Research Programme
  Large scale interactions in brain networks and their breakdown in brain diseases.
• ERC CZ CORES - ERC grant
  ERC grant on Complex Structures: Regularities in Comb. and Discrete Math
• CE-ITI - Czech Science Foundation center of excellence
  Centrum of Excelence - Institute for Theoretical Computer Science
• GACR P103/11/J068 - Czech Science Foundation bilateral research grant with Germany
  Interactions, information transfer and complex structures in the dynamics of changing climate.
• GACR P402/13-10660S - Czech Science Foundation standard research grant
  Interval methods for optimization problems

Recent conferences

• Homomorphism-homogeneity classes of countable L -colored graphs, EUROCOMB 2019, Bratislava, Slovakia, 2019
• Maximization of a Convex Quadratic Form on a Polytope: Factorization and the Chebyshev Norm Bounds, WCGO 2019, Mety, France, 2019
• Complexity of computing powers for various classes of interval matrices, MATTRIAD 2019, Liblice, Czech Republic, 2019
• Plausible ways to compute powers of interval matrices, ICMAA 2019, Reno, Nevada, 2019
• On equality of two classes of homomorphism-homogeneous relational structures, BANFF 2018 Unifying Themes in Ramsey Theory, Banff, 2018
• Equality of classes MH and HH, ICMS 2018 From permutation groups to model theory workshop, Edingurgh, 2018
• Computing powers of interval matrices, SCAN 2018, Tokyo, 2018
• Disturbing effects within construction of stock networks, Dresden, Germany, 2018