Dr. Annika HeckelMathematisches Institut der Universität München Email: heckel AT math.lmu.de Arbeitsgruppe: Stochastik und Finanzmathematik |
|
Research interests: Discrete mathematics, probabilistic combinatorics and random discrete structures, in particular random graphs
Publications:
Papers:- How does the chromatic number of a random graph vary? (with Oliver Riordan)
arXiv preprint 2103.14014 (2021) - Non-concentration of the chromatic number of a random graph
Journal of the American Mathematical Society 34 (2021), 245-260. - Random triangles in random graphs
To appear in Random Structures and Algorithms. - Sharp concentration of the equitable chromatic number of dense random graphs
Combinatorics, Probability and Computing 29(2) (2020 ), 213-233. - The chromatic number of dense random graphs
Random Structures and Algorithms 53(1) (2018), 140-182. - On the threshold for rainbow connection number r in random graphs (with Oliver Riordan)
Graphs and Combinatorics 32(1) (2016), 161-174. - Mathematical foundations of and empirical investigations into the dynamic of top positions: Stabilization Effect, Reversed Matthew Effect, and Heraclitus Effect (with Albert Ziegler and Albert Ziegler)
Psychological Test and Assessment Modeling 55(4) (2013), 401-414. - The Hitting Time of Rainbow Connection Number Two (with Oliver Riordan)
The Electronic Journal of Combinatorics 19(1) (2012), P37.
Oberwolfach reports:
- Non-concentration of the chromatic number (with Oliver Riordan)
Oberwolfach Workshop 2002 "Combinatorics" (2020), 26-29. - Non-concentration of χ(G(n,1/2))
Oberwolfach Workshop 1916 "Combinatorics, Probability and Computing" (2019), 1141-1144.
Thesis:
- Colourings of Random Graphs
Supervisor: Professor Oliver Riordan
University of Oxford, 2017.