Small triangle-free configurations of points and lines

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Small triangle-free configurations of points and lines

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Title: Small triangle-free configurations of points and lines
Author: Boben, Marko; Grünbaum, Branko; Pisanski, Tomaz; Zitnik, Arjana
Abstract: In 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).
URI: http://hdl.handle.net/1773/2278

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