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Research Areas

• Graph Theory and Combinatorics
• Combinatorial Geometry
• Elementary Number Theory

Recent Papers

• [r,s,t]-Colorings of Graphs
  (joint work with Massimiliano Marangio).
  Discrete Mathematics 307 (2007) 199-207.
• [r,s,t]-Chromatic Numbers and Hereditary Properties of Graphs
  (joint work with Massimiliano Marangio and Peter Mihók).
  Discrete Mathematics 307 (2007) 916-922.
• Rainbows in the Hypercube
  (joint work with Maria Axenovich, Heiko Harborth, Meinhard Möller, and Ingo Schiermeyer).
  Graphs and Combinatorics 23 (2007) 123-133.
• Coloring the Line
  (joint work with Massimiliano Marangio).
  Ars Combinatoria 85 (2007) 183-192.
• [r,s,t]-Colorings of Stars
  (joint work with Juliane Lehmann).
  Congressus Numerantium 185 (2007) 65-80.
• Circular Total Colorings of Some Type-2 Graphs
  (joint work with Jens-P. Bode and Rebecca Klages).
  Congressus Numerantium 189 (2008) 129-137.
• Kartenverteilungen bei Skat, Doppelkopf, Rommé und Canasta
  (joint work with Jens-P. Bode).
  Math. Semesterber. 56 (2009) 177-185.
• Hamiltonicity in Vertex-Deleted Hypercubes
  (joint work with Heiko Harborth).
  Congressus Numerantium 195 (2009) 33-47.
• Generalizing Bondy's Theorems on Sufficient Conditions for Hamiltonian Properties
  (joint work with Jens-P. Bode, Ingo Schiermeyer, and Anika Schwarz).
  Congressus Numerantium 203 (2010) 5-13.
• Mathematik zum Studienbeginn
  Vieweg+Teubner, Braunschweig/Wiesbaden, 10. Auflage, 2011.

• Graphs with Rainbow Connection Number Two
  (joint work with Ingo Schiermeyer).
  Discussiones Mathematicae Graph Theory 31 (2011) 313-320.
• Generalized Total Colorings of Graphs
  (joint work with Mieczysław Borowiecki, Massimiliano Marangio, and Peter Mihók).
  Discussiones Mathematicae Graph Theory 31 (2011) 209-222.
• [1,1,2]-Colorings of Complete Graphs
  (joint work with Juliane Lehmann and Massimiliano Marangio).
  Congressus Numerantium 208 (2011) 99-103.
• Rainbow Cycles in Cube Graphs
  (joint work with Jens-P. Bode and Sebastian Struckmann).
  Journal Comb. Math. Comb. Computing 80 (2012) 199-205.
• Improved Degree Conditions for Hamiltonian Properties
  (joint work with Ingo Schiermeyer).
  Discrete Mathematics 312 (2012) 2140-2145.
• Closures, Cycles, and Paths
  (joint work with Jochen Harant, Akira Saito, and Ingo Schiermeyer).
  Journal of Graph Theory, Doi:10.1002/jgt.20584.
• [1,1,t]-Colorings of Complete Graphs
  (joint work with Massimiliano Marangio and Zsolt Tuza).
  Graphs and Combinatorics, Doi:10.1007/s00373-012-1153-3.
• Hypercube-Anti-Ramsey Numbers of Q5
  (joint work with Jens-P. Bode and Dorothée Grimm).
  Ars Combinatoria (to appear).
• d-Strong Edge Colorings of Graphs
  (joint work with Massimiliano Marangio).
  Graphs and Combinatorics (to appear).
• Rainbow Connection in Sparse Graphs
  (joint work with Jakub Przybyło, Ingo Schiermeyer, and Mariusz Woźniak).
  Discussiones Mathematicae Graph Theory (to appear).
• Grundy Numbers of Strong Products of Graphs
  (joint work with Jens-P. Bode and Christoph Hillert).
  Congressus Numerantium (to appear).
• Fractional (P,Q)-Total List Colorings of Graphs
  (joint work with Peter Mihók and Margit Voigt).
  Discussiones Mathematicea Graph Theory (to appear).
• Coloring of n-Dimensional Distance Graphs
  (joint work with Massimiliano Marangio).
  Congressus Numerantium (to appear).
• Saturated Rainbow Edge Colorings of Cube Graphs
  (joint work with Heiko Harborth).
  Congressus Numerantium (to appear).
• Generalized Fractional and Circular Total Colorings of Graphs
  (joint work with Massimiliano Marangio, Peter Mihók, Janka Oravcová, and Roman Soták).
  Submitted.