Arnfried Kemnitz

Recent publications

• Generalized Sum List Colorings of Graphs
  (joint work with Massimiliano Marangio and Margit Voigt).
  Discussiones Mathematicae Graph Theory.
  Doi: 10.7151/dmgt.2174.
  
  
• On the Chromatic Edge Stability Number of Graphs
  (joint work with Massimiliano Marangio and Nazanin Movarraei).
  Graphs and Combinatorics 34 (2018) 1539-1551.
  Doi: 10.1007/s00373-018-1972-y.
  
  
• A Note on Not-4-list Colorable Planar Graphs
  (joint work with Margit Voigt).
  The Electronic Journal of Combinatorics 25(2) (2018) #P2.46.
  
  
• On the P-Sum Choice Number of Graphs for 1-Additive Properties
  (joint work with Massimiliano Marangio and Margit Voigt).
  Congressus Numerantium 229 (2017) 117-124.
  
  
• Bounds for the Sum Choice Number
  (joint work with Massimiliano Marangio and Margit Voigt).
  Electronic Notes in Discrete Mathematics 63 (2017) 49-58.
  Doi: 10.1016/j.endm.2017.10.061.
  
  
• Sum Choice Number of Generalized Θ-Graphs
  (joint work with Christoph Brause, Massimiliano Marangio, Anja Pruchnewski, and Margit Voigt).
  Discrete Mathematics 340 (2017) 2633-2640.
  Doi: 10.1016/j.disc.2016.11.028.
  
  
• Proper Connection and Size of Graphs
  (joint work with Susan A. van Aardt, Christoph Brause, Alewyn P. Burger, Marietjie Frick, and Ingo Schiermeyer).
  Discrete Mathematics 340 (2017) 2673-2677.
  Doi: 10.1016/j.disc.2016.09.021.
  
  
• Sum List Colorings of Small Graphs
  (joint work with Massimiliano Marangio and Margit Voigt).
  Congressus Numerantium 227 (2016) 27-50.
  
  
• Rainbow Connection Number Two and Clique Number
  (joint work with Philipp Krause and Ingo Schiermeyer).
  Congressus Numerantium 226 (2016) 155-163.
  
  
• Lower Bounds on the Sum Choice Number of a Graph
  (joint work with Jochen Harant).
  Electronic Notes in Discrete Mathematics 53 (2016) 421-431.
  Doi: 10.1016/j.endm.2016.05.036.
  
  
• Sum List Edge Colorings of Graphs
  (joint work with Massimiliano Marangio and Margit Voigt).
  Discussiones Mathematicae Graph Theory 36 (2016) 709-722.
  Doi: 10.7151/dmgt.1884.
  
  
• Sufficient Conditions for 2-Rainbow Connected Graphs
  (joint work with Ingo Schiermeyer).
  Discrete Applied Mathematics 209 (2016) 247-250.
  Doi: 10.1016/j.dam.2015.10.025.
  
  
• Sum List Colorings of Products of Graphs
  (joint work with Massimiliano Marangio and Margit Voigt).
  Congressus Numerantium 223 (2015) 45-58.
  
  
• Irregular Vertex Colorings of Cartesian Products of Paths and Cycles
  (joint work with Jens-P. Bode and Zuzana Moravcová).
  Congressus Numerantium 224 (2015) 203-211.
  
  
• Sum List Colorings of Wheels
  (joint work with Massimiliano Marangio and Margit Voigt).
  Graphs and Combinatorics 31 (2015) 1905-1913.
  Doi: 10.1007/s00373-015-1565-y.
  
  
• Hypohamiltonian Oriented Graphs of All Possible Orders
  (joint work with Susan A. van Aardt, Alewyn P. Burger, Marietjie Frick, and Ingo Schiermeyer).
  Graphs and Combinatorics 31 (2015) 1821-1831.
  Doi: 10.1007/s00373-015-1561-2.
  
  
• Generalized Fractional and Circular Total Colorings of Graphs
  (joint work with Massimiliano Marangio, Peter Mihók, Janka Oravcová, and Roman Soták).
  Discussiones Mathematicae Graph Theory 35 (2015) 517-532.
  Doi: 10.7151/dmgt.1812.
  
  
• Improved Sufficient Conditions for Hamiltonian Properties
  (joint work with Jens-P. Bode and Anika Fricke).
  Discussiones Mathematicae Graph Theory 35 (2015) 329-334.
  Doi: 10.7151/dmgt.1804.
  
  
• (P,Q)-Total (r,s)-Colorings of Graphs
  (joint work with Massimiliano Marangio, Anja Pruchnewski, and Margit Voigt).
  Discrete Mathematics 338 (2015) 1722-1729.
  Doi: 10.1016/j.disc.2014.09.012.
  
  
• d-Strong Total Colorings of Graphs
  (joint work with Massimiliano Marangio).
  Discrete Mathematics 338 (2015) 1690-1698.
  Doi: 10.1016/j.disc.2014.07.008.
  
  
• Mathematik zum Studienbeginn
  Springer Spektrum, Wiesbaden, 11. Auflage, 2014.
  
  
• d-Strong Edge Colorings of Graphs
  (joint work with Massimiliano Marangio).
  Graphs and Combinatorics 30 (2014) 183-195.
  
  
• Grundy Critical Graphs
  (joint work with Jens-P. Bode).
  Congressus Numerantium 218 (2013) 141-147.
  
  
• Fractional (P,Q)-Total List Colorings of Graphs
  (joint work with Peter Mihók and Margit Voigt).
  Discussiones Mathematicae Graph Theory 33 (2013) 167-179.
  
  
• Grundy Numbers of Products of Paths, Cycles, and Stars
  (joint work with Jens-P. Bode and Ingo Schiermeyer).
  Congressus Numerantium 216 (2013) 65-72.
  
  
• Rainbow Connection in Sparse Graphs
  (joint work with Jakub Przybyło, Ingo Schiermeyer, and Mariusz Woźniak).
  Discussiones Mathematicae Graph Theory 33 (2013) 181-192.
  
  
• Hypercube-Anti-Ramsey Numbers of Q5
  (joint work with Jens-P. Bode and Dorothée Grimm).
  Ars Combinatoria 110 (2013) 105-111.
  
  
• [1,1,t]-Colorings of Complete Graphs
  (joint work with Massimiliano Marangio and Zsolt Tuza).
  Graphs and Combinatorics 29 (2013) 1041-1050.
  
  
• Saturated Rainbow Edge Colorings of Cube Graphs
  (joint work with Heiko Harborth).
  Congressus Numerantium 212 (2012) 5-13.
  
  
• Coloring of n-Dimensional Distance Graphs
  (joint work with Massimiliano Marangio).
  Congressus Numerantium 212 (2012) 97-105.
  
  
• Closures, Cycles, and Paths
  (joint work with Jochen Harant, Akira Saito, and Ingo Schiermeyer).
  Journal of Graph Theory 69 (2012) 314-323.
  
  
• Grundy Numbers of Strong Products of Graphs
  (joint work with Jens-P. Bode and Christoph Hillert).
  Congressus Numerantium 214 (2012) 179-186.
  
  
• Improved Degree Conditions for Hamiltonian Properties
  (joint work with Ingo Schiermeyer).
  Discrete Mathematics 312 (2012) 2140-2145.
  
  
• Rainbow Cycles in Cube Graphs
  (joint work with Jens-P. Bode and Sebastian Struckmann).
  Journal Comb. Math. Comb. Computing 80 (2012) 199-205.