---- dataentry project ---- title : The Probabilistic Method contactname: Ghid Maatouk contactmail_mail: ghid.maatouk@epfl.ch contacttel: 021-693-12-05 contactroom: BC 128 type : bachelor semester state : completed created_dt : 2011-09-21 taken_dt : completed_dt : by : Samuel Regamey output_media : table : projects ====== template:datatemplates:project ---- In this project, you will learn about the probabilistic method, a powerful tool for proving non-constructively the existence of certain structures. You will study basic probabilistic tools such as large deviation results, and apply them to understand proofs of several results such as Ramsey theorems, lower bounds on the independence number/clique number of graphs, existence of tournaments, and other results. Prerequisites: basic probability. {{:en:projects:bachelor_semester:projet-sregamey.pdf|Méthode probabiliste et lemme local de Lovász}}