We define k-chordal matroids as a generalization of chordal matroids, and develop tools for proving that some k-chordal matroids are T-unique, that is, determined up to isomorphism by their Tutte polynomials. We apply this theory to wheels, whirls, free spikes, binary spikes, and certain generalizations.
Bonin, J.; de Mier, A. T-uniqueness of some families of k-chordal matroids. "Advances in applied mathematics", 2004, vol. 32, núm. 1-2, p. 10-30.