Geodesic
Henson Graphs and Urysohn--Henson Graphs as Cayley Graphs
Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 3, pp. 41-56

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We discuss groups acting regularly on the Henson graphs $\Gamma_n$, answering a question posed by Peter Cameron, and we explore a number of related questions.
Keywords: Cayley graph, Henson graph, homogeneity, random graph, regular action, Urysohn space. 
@article{FAA_2015_49_3_a2,
     author = {G. Cherlin},
     title = {Henson {Graphs} and {Urysohn--Henson} {Graphs} as {Cayley} {Graphs}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {41--56},
     publisher = {mathdoc},
     volume = {49},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2015_49_3_a2/}
}
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G. Cherlin. Henson Graphs and Urysohn--Henson Graphs as Cayley Graphs. Funkcionalʹnyj analiz i ego priloženiâ, Tome 49 (2015) no. 3, pp. 41-56. http://geodesic.mathdoc.fr/item/FAA_2015_49_3_a2/