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- W2963670520 abstract "An (nk)-configuration is a set of n points and n lines in the projective plane such that their point–line incidence graph is k-regular. The configuration is geometric, topological, or combinatorial depending on whether lines are considered to be straight lines, pseudolines, or just combinatorial lines. We provide an algorithm for generating, for given n and k, all topological (nk)-configurations up to combinatorial isomorphism, without enumerating first all combinatorial (nk)-configurations. We apply this algorithm to confirm efficiently a former result on topological (184)-configurations, from which we obtain a new geometric (184)-configuration. Preliminary results on (194)-configurations are also briefly reported." @default.
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- W2963670520 date "2014-02-01" @default.
- W2963670520 modified "2023-09-30" @default.
- W2963670520 title "Enumerating topological(nk)-configurations" @default.
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- W2963670520 doi "https://doi.org/10.1016/j.comgeo.2012.10.002" @default.
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