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DTSTAMP:20250723T225210Z
DESCRIPTION:Informal Systems Seminar\n\nSpeaker: Valentin Féray – CNRS Tenu
 red Research Scientist\, Institut Elie Cartan de Lorraine (IECL)\, France 
 \n\n \n\n\n\nAbstract: By definition\, cographs are graphs that can be obt
 ained starting from the one-vertex graph by iterating the following 'dupli
 cation' operation: choose a vertex\, duplicate it (the new vertex has the 
 same neighbours as the original vertex)\, and possibly connect by an edge 
 the new vertex to the original one. Cographs enjoy many equivalent charact
 erizations (e.g.~they are exactly the graphs avoiding the path P_4 as indu
 ced subgraph) and have been well-studied from an algorithmic point of view
  (many NP hard problem are tractable when the input is assumed to be a cog
 raph).\n\nIn this talk we discuss the asymptotic property of large random 
 cographs\, in particular their limit in the sense of graphons. We will con
 sider three different models of random cographs: a static one (uniform dis
 tribution on cographs with $n$ vertices)\, a dynamic one with growing size
  (where duplications are applied at random starting from the one vertex gr
 aph) and a dynamic one with constant size (where duplications and vertex d
 eletions are applied at random starting from any graph with $n$ vertices).
 \n\nBased on joint works with F. Bassino\, M. Bouvel\, L. Gerin\, M. Maazo
 un\, A. Pierrot and K. Rivera-Lopez.\n\n\nBiography: Valentin Féray receiv
 ed his Ph.D. in Mathematics from University Paris-Est Marne-La-Vallée (adv
 isor : Philippe Biane). He is currently a CNRS tenured research scientist 
 at IECL\, Nancy. Before that he was an Assistant professor of Pure Mathema
 tics at the University of Zurich and a CNRS tenured research scientist in 
 LaBRI\, Bordeaux. In 2013\, he gave the Cours Peccot at College de France.
 \n
DTSTART:20230512T160000Z
DTEND:20230512T170000Z
LOCATION:CA\, ZOOM
SUMMARY:Graphon Limits of Static and Dynamic Models of Random Cographs 
URL:/cim/channels/event/graphon-limits-static-and-dyna
 mic-models-random-cographs-351622
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