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Timeline for Quasi-Ramsey Graphs

Current License: CC BY-SA 3.0

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Dec 11, 2011 at 4:15 history edited Aaron Meyerowitz CC BY-SA 3.0
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Dec 9, 2011 at 17:33 comment added Aaron Meyerowitz It is not a complete answer but I thought it relevant. There is at least one 16 vertex graph that is $K_4$ free (including the complement) , the Paley graph with a deleted vertex. Are there any others? If so, they are all Quasi-Ramsey. I agree that it is not easy to find one. If in fact there are no others then note that the Payley graph has only 2 15 vertex sugraphs so look for a 15 graph other than one of those which is $K_4$ free any of those would be Quasi-Ramsey.
Dec 9, 2011 at 8:54 comment added Zello Your answer gives no explication. The 17 vertex Paley graph is obviously not quasiRamsey. And generally, a Ramsey graph contains no quasiRamsey subgraph. How to find an irregular 16 vertex quasiRamsey graph?
Dec 9, 2011 at 7:59 history edited Aaron Meyerowitz CC BY-SA 3.0
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Dec 9, 2011 at 7:15 comment added Zello I have corrected the minor fault in my question. Itself and its complement has no essential difference if you see it as a two-colored graph.
Dec 9, 2011 at 6:56 comment added Yemon Choi Zhipeng, it seems that Aaron has answered one of the questions you asked. If that's not the question you wanted to ask, then perhaps you should edit the question?
Dec 9, 2011 at 6:38 comment added Zello Yes, I know, but this is not essential improvement.
Dec 9, 2011 at 6:35 history answered Aaron Meyerowitz CC BY-SA 3.0