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arxiv: 0812.1276 · v1 · submitted 2008-12-06 · 🧮 math.CO

On minimal prime graphs and posets

classification 🧮 math.CO
keywords infiniteprimegraphsposetsantichainchaincliquederive
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We show that there are four infinite prime graphs such that every infinite prime graph with no infinite clique embeds one of these graphs. We derive a similar result for infinite prime posets with no infinite chain or no infinite antichain.

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