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arXiv · 2610.39760

EPPA for Reducts of the Random Graph

Sofia Brenner·Jan Hubička·Matěj Konečný
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Abstract

We prove that finite two-graphs have coherent EPPA and that neither graphs modulo global complementation nor two-graphs modulo global complementation have EPPA. This completes the classification of EPPA and coherent EPPA for the reducts of the random graph, answering a question and confirming a conjecture of Evans, Hubička, Konečný and Nešetřil.

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Sofia Brenner, Jan Hubička, Matěj Konečný. 2026-10-29. EPPA for Reducts of the Random Graph. https://arxiv.org/abs/2610.39760

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