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Jan 24, 2014 at 17:04 history edited Louis Esperet CC BY-SA 3.0
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Jan 24, 2014 at 17:03 comment added Louis Esperet You're of course right, my bad. You have to consider graphs of bounded clique number. I edited the post
Jan 22, 2014 at 9:42 review Late answers
Jan 22, 2014 at 9:44
Jan 22, 2014 at 9:34 comment added Daniel Soltész Maybe i misunderstood something, but isn't the complete graph on $n$ vertices a counterexample to your first question? (Every triangle-free induced subgraph has at most $2$ vertices in the complete graph.)
Jan 22, 2014 at 9:24 history answered Louis Esperet CC BY-SA 3.0