Geodesic
Classification of the total and regular graphs of three-point sets
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXV, Tome 514 (2022), pp. 167-192

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The paper studies the structures of the total and regular graphs of sets of three elements over fields of characteristic zero. The graphs themselves are classified up to isomorphism. 
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     author = {V. V. Promyslov},
     title = {Classification of the total and regular graphs of three-point sets},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {167--192},
     publisher = {mathdoc},
     volume = {514},
     year = {2022},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2022_514_a9/}
}
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V. V. Promyslov. Classification of the total and regular graphs of three-point sets. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXXV, Tome 514 (2022), pp. 167-192. http://geodesic.mathdoc.fr/item/ZNSL_2022_514_a9/