Reductions of (v_3) configurations

Details Reductions of (v_3) configurations Reductions of (v_3) configurations

2005-05-08

arxiv.org/abs/math/0505136v1

Mathematics

Combinatorics

Scientific paper

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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