Probabilistic arguments have a vast number of applications in combinatorics
and graph theory. Here are some books each covering at least some examples:
Joel Spencer: Ten lectures on the probabilistic method. CBMS-
NSF, SIAM, Philadelphia, PA, 1987
Noga Alon and Joel Spencer: The Probabilistic Method. J. Wiley and
Sons, 1992 (4th edition, 2016).
Habib, Michael (ed.); McDiarmid, Colin (ed.); Ramírez Alfonsín, Jorge (ed.); Reed, Bruce (ed.)
Probabilistic methods for algorithmic discrete mathematics.
Algorithms and Combinatorics vol 16. Springer, 1998.
Michael Mitzenmacher and Eli Upfal,
Probability and computing. Randomized algorithms and probabilistic analysis.
Cambridge Univ. Press. 2005 (2nd edition 2017).
David Levin, Yuval Peres and Elizabeth Wilmer.
Markov chains and mixing times.
AMS 2009 (2nd edition 2017).
Zielgruppe:
Studentinnen und Studenten der
Mathematik, Techno- und Wirtschaftsmathematik
Dieses Seminar wird im Rahmen des Studienschwerpunkts
Diskrete Strukturen empfohlen.