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The 42 reducts of the random ordered graph

Logic 2017-05-17 v3 Combinatorics

Abstract

The random ordered graph is the up to isomorphism unique countable homogeneous linearly ordered graph that embeds all finite linearly ordered graphs. We determine the reducts of the random ordered graph up to first-order interdefinability.

Keywords

Cite

@article{arxiv.1309.2165,
  title  = {The 42 reducts of the random ordered graph},
  author = {Manuel Bodirsky and Michael Pinsker and András Pongrácz},
  journal= {arXiv preprint arXiv:1309.2165},
  year   = {2017}
}

Comments

42 pages (!)