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okay so welcome to the last talk of this uh long day of their workshop uh and i im pleased to introduce uh pedor montelegre um who is a uh assistant professor at the university of venice in chile who did his uh his phd in uh in frances inaudible and uh who will tell us about the compact local certification for for graph classes thank you lorna for the very nice introduction and for inviting me to do this workshop and also thank you all for staying for this very last talk in the evening for you for me its the afternoon okay so uh let me switch slides okay so my talk is about uh graph classes that are useful for the design of efficient algorithms in the context of of centralized algorithms but also in history for distributed algorithms this uh some of these classes are are are useful for for real real real world real world cases like we saw in this in this stock like planar graphs interval graphs for example are useful for for problems related to scale within and so on and other or g