Geodesic
Splittable and unsplittable graphs and configurations
Ars mathematica contemporanea, Tome 16 (2019) no. 1, pp. 1-17 Cet article a éte moissonné depuis la source Ars Mathematica Contemporanea website

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We prove that there exist infinitely many splittable and also infinitely many unsplittable cyclic (n3) configurations. We also present a complete study of trivalent cyclic Haar graphs on at most 60 vertices with respect to splittability. Finally, we show that all cyclic flag-transitive configurations with the exception of the Fano plane and the Möbius-Kantor configuration are splittable.
DOI : 10.26493/1855-3974.1467.04b
Keywords: Configuration of points and lines, unsplittable configuration, unsplittable graph, independent set, Levi graph, Grünbaum graph, splitting type, cyclic Haar graph 
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     title = {
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     journal = {Ars mathematica contemporanea},
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Nino Bašić; Jan Grošelj; Branko Grünbaum; Tomaž Pisanski. Splittable and unsplittable graphs and configurations. Ars mathematica contemporanea, Tome 16 (2019) no. 1, pp. 1-17. doi: 10.26493/1855-3974.1467.04b

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