A Conversation between Model Theory and Graph Theory

نویسنده

  • ISABELLA SCOTT
چکیده

In general terms, Ramsey Theory studies the properties of structures that are preserved under taking partitions, and covers problems in areas including logic, theoretical computer science, number theory, game theory, and beyond. In this paper, we develop the model theoretic machinery to prove Ramsey’s Theorem, and then use more classical combinatorial methods to get a finer resolution on these results, thus highlighting the relationship between model theory and combinatorics.

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تاریخ انتشار 2016