Tutte polynomials of q-cones

Abstract

We derive a formula for the Tutte polynomial t(G′; x, y) of a q-cone G′ of a GF (q)-representable geometry G in terms of t(G; x, y). We use this to construct collections of infinite sequences of GF (q)-representable geometries in which corresponding geometries are not isomorphic and yet have the same Tutte polynomial. We also use this to construct, for each… (More)
DOI: 10.1016/S0012-365X(00)00343-5

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