16-vertex graphs with automorphism groups A4 and A5 from the icosahedron

The article deals with the problem of finding vertex-minimal graphs with a given automorphism group. We exhibit two undirected 16-vertex graphs having automorphism groups A4 and A5. It improves Babai's bound for A4 and the graphical regular representation bound for A5. The graphs are constructe...

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Hlavní autor: Daugulis, Peteris; Institute of Life Sciences and Technologies Daugavpils University, Parades 1, Daugavpils, Latvia (Autor)
Médium: EJournal Article
Vydáno: GTA Research Group, Univ. Newcastle, Indonesian Combinatorics Society and ITB, 2020-10-15.
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