IB-homogeneous graphs
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Publication:6324806
DOI10.1016/J.DISC.2022.113015arXiv1909.02920MaRDI QIDQ6324806
Publication date: 6 September 2019
Abstract: The Lachlan-Woodrow Theorem identifies ultrahomogeneous graphs up to isomorphism. Recently, the present author and D. Hartman classified MB-homogeneous graphs up to bimorphism-equivalence. We extend those results in this paper, showing that every IB-homogeneous graph is either ultrahomogeneous or MB-homogeneous, and thus all the IB-homogeneous graphs are known up to bimorphism-equivalence.
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