Small triangle-free configurations of points and lines

dc.contributor.authorBoben, Marko
dc.contributor.authorGrünbaum, Branko
dc.contributor.authorPisanski, Tomaz
dc.contributor.authorZitnik, Arjana
dc.date.accessioned2006-01-18T21:46:20Z
dc.date.available2006-01-18T21:46:20Z
dc.date.issued2006
dc.description.abstractIn this paper we show that all combinatorial triangle-free configurations (v_3) for v (is less than or equal to) 8 are geometrically realizable. We also show that there is a unique smallest astral (18_3) triangle-free configuration, and its Levi graph is the generalized Petersen graph G(18, 5). In addition, we present geometric realizations of the unique flag transitive triangle-free configuration (20_3) and the unique point transitive triangle-free configuration (21_3).en
dc.format.extent715678 bytes
dc.format.mimetypeapplication/pdf
dc.identifier.citationDiscrete and Computational Geometry vol. 35(2006), 405 - 427.
dc.identifier.urihttp://hdl.handle.net/1773/2278
dc.language.isoen_US
dc.subjectConfigurationen
dc.subjectgeometric configurationen
dc.subjecttriangle-freeen
dc.titleSmall triangle-free configurations of points and linesen
dc.typeArticleen

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