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Minimal Asymmetric Graphs

Confirming a conjecture of Nešetřil, we show that up to isomorphism there is only a finite number of finite minimal asymmetric undirected graphs. In fact, there are exactly 18 such graphs. We also show that these graphs are exactly the finite minimal involution-free graphs.

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Co-authorshipAuthorshipAuthorshipTopic signalWMinimal Asymmetric Graphspreprint / 2016APascal SchweitzerResearcherAPatrick SchweitzerResearcherTmath.CO8936 works
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Minimal Asymmetric Graphs

preprint / 2016

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