## David Hartman |
Everything is both simpler
than we can imagine, and more complicated that we can conceive. Johann Wolfgang von Goethe |

My research is divided into several areas. The first area 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:

- Using interval aritmetics in algebra
- Solvability of interval systems

Last area is that of complex network with application to neurology and climatology, where the main area of interests are:

- Reliability of complex network construction
- Modelling of complex network and graph limits

- FP7 BRAINSYNCH

Large scale interactions in brain networks and their breakdown in brain diseases. - CE-ITI

Centrum of Excelence - Institute for Theoretical Computer Science (Charles University) - GACR P103/11/J068

Interactions, information transfer and complex structures in the dynamics of changing climate. *GACR P402/13-10660S*

Interval methods for optimization problems

*Towards bounds of relational complexity*, Bordeaux Graph Workshop, BGW 2014, Bordeaux*Towards a tight bounds on radius of nonsingularity*, Scientific Computing, Computer Arithmetic and Validated Numerics, SCAN 2014, Wurzburg*Combinatorial Bounds on Relational Complexity*, European Conference on Combinatorics, Graph Theory and Applications, Eurocomb 2013, Budapest, 2013*Investigation of rotated PCA from the perspective of network communities applied to climate data*, European Geosciences Union General Assembly, Vienna, 2013- Organizer and editor of proceedings, 2nd Workshop on Homogeneous Structures, Prague, 2012
*Towards finite homomorphism-homogeneous relational structures*, European Conference on Combinatorics, Graph Theory and Applications, Budapest, 2011*Homomorphism-homogeneous Edge-colored Graphs*, Workshop on Combinatorics and Graph Theory, Warwick, 2011*Homomorphism-homogeneous multicoloured graphs*, Workshop on Homogeneous Structures, Leeds, 2011*The Effect of Nonlinearity in Computing Graph Theoretic Characteristics of Complex Networks*, European Conference on Complex Systems 2011, Vienna, 2011*Towards a classical definition of betweenness centrality in weighted networks*, Synchronization in Complex Networks Syncline 2010, Bad Honnef, Germany, 2010