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Reductions of (v_3) configurations

Marko Boben
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Abstract

Cubic bipartite graphs with girth at least 6 correspond to symmetric combinatorial (v_3) configurations. In 1887 V. Martinetti described a simple reduction method which enables one to reduce each combinatorial (v_3) configuration to one from the infinite set of so-called irreducible configurations. The aim of this paper is to show that a slightly extended set of reductions enables one to reduce each combinatorial (v_3) configuration either to the Fano configuration or to the Pappus configuration.

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Marko Boben. 2005-05-08. Reductions of (v_3) configurations. https://arxiv.org/abs/math/0505136

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