On minimal prime graphs and posets

Details On minimal prime graphs and posets On minimal prime graphs and posets

2008-12-06

arxiv.org/abs/0812.1276v1

Mathematics

Combinatorics

Scientific paper

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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