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Orienting and separating distance-transitive graphsDejter, Ítalo JoséIt 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.Source: Ars mathematica contemporanea. - ISSN 1855-3966 (Vol. 6, no. 2, 2013, str. 221-236)Type of material - article, component part ; adult, seriousPublish date - 2013Language - englishCOBISS.SI-ID - 16473689
Author
Dejter, Ítalo José
Topics
graph theory |
distance-transitive graph |
ultrahomogeneous graph |
Cayley graph |
teorija grafov
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