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A combinatorial model for series-parallel networks

A combinatorial model for series-parallel networks

The category of pregeometries with basepoint is defined and explored.In this category two important operations are extensively characterized: the series connection S(G, H), and the parallel connection P(G, H) = S(G, H); and the latter is shown to be the categorical direct sum.For graphical pregeometries, these notions coincide with the …