David Hartman

  Everything is both simpler
than we can imagine,
and more complicated
that we can conceive.

Johann Wolfgang von Goethe


Research

Main areas of interests

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

Research databases and networks

Participation in grant projects

  • 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

Recent conferences

  • 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