Geodesic
Orienting and separating distance-transitive graphs
Ars Mathematica Contemporanea, Tome 6 (2013) no. 2, pp. 221-236.

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It is shown that exactly 7 distance-transitive cubic graphs among the existing 12 possess a particular ultrahomogeneous property with respect to oriented cycles realizing the girth that allows the construction of a related Cayley digraph with similar ultrahomogeneous properties in which those oriented cycles appear minimally ''pulled apart'', or ''separated'' and whose description is truly beautiful and insightful. This work is proposed as the initiation of a study of similar ultrahomogeneous properties for distance-transitive graphs in general with the aim of generalizing to constructions of similar related ''separator'' Cayley digraphs.
DOI : 10.26493/1855-3974.235.446
Keywords: distance-transitive graph, ultrahomogeneous graph, Cayley graph 
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Ítalo José Dejter. Orienting and separating distance-transitive graphs. Ars Mathematica Contemporanea, Tome 6 (2013) no. 2, pp. 221-236. doi : 10.26493/1855-3974.235.446. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.235.446/

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