Research interests
We are working in Discrete Mathematics/Graph Theory with main focuses on matchings in graphs, edge-colorings and in particular colorings and flows on signed graphs. One of our current projects is 'Factors in graphs.'
In the context of research projects on the digital transformation of the society, we are interested in the application of graph-theoretical methods in the analysis and design of small socio-technical systems.
Projects
Graphs, Association schemes and Geometries: structures, algorithms and computation
P.I., start January 2024 (5 Jahre), Scientific Research Network, FWO (Belgium)
Factors in graphs
P.I., start fall 2020 (4 years), Deutsche Forschungsgemeinschaft (DFG), STE 792/3-1
Flows and matchings on graphs
P.I., start September 2021 (2 years)
Sino-German (CSC-DAAD) Postdoc Scholarship Program
Analysis of communication and organizational structures in socio-technical systems
NRW-Forschungskolleg „Design of flexible work environments“,
P.I. and Managing Director (January 2017 – December 2022),
Ministerium für Kultur und Wissenschaft, NRW
Factors of regular Graphs
P.I., 2022 (1 year)
Heinrich Hertz Foundation
Forschungsschwerpunkt „Digital Future“,
P.I. (October 2016 – April 2021), Ministerium für Kultur und Wissenschaft, NRW
„Covers and Cores of r-graphs“,
P.I., September 2013 – February 2017, Deutsche Forschungsgemeinschaft
International Graduate School “Dynamic Intelligent Systems”,
P.I., July 2010 – 2017, Ministerium für Kultur und Wissenschaft, NRW
„Edge-colorings“ (Post-Doc-Fellowship for Vahan Mkrtchyan)
(Hertz-Stiftung); June 2009 – July 2010