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BGW 2019 is the fifth edition of an international workshop on graph theory, organized by the LaBRI team Graphs and optimisation. The first edition was held in 2010 in honor of André Raspaud. The aim of this workshop is to gather renowned researchers from the international graph community for a scientific meeting in a friendly atmosphere. Its scope includes every field of fundamental graph theory. The scientific program includes invited talks (50 min) and contributed talks (20 min), selected on the basis of an extended abstract of at most four pages. See here for more details on submissions.