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Showing 2005 · math.COShow all
3 papers · 2 filters
math.CO2005★ 13 cited
A categorification for the Tutte polynomial
Edna F Jasso-Hernandez, Yongwu Rong
For each graph, we construct a bigraded chain complex whose graded Euler characteristic is a version of the Tutte polynomial. This work is motivated by earlier work of Khovanov, He…
math.CO2005★ 1 cited
Primitive elements in the matroid-minor Hopf algebra
Henry Crapo, William Schmitt
We introduce the matroid-minor coalgebra C, which has labeled matroids as distinguished basis, and coproduct given by splitting a matroid into a submatroid and complementary contra…
math.CO2005★ 45 cited
The Lattice of Cyclic Flats of a Matroid
Joseph E. Bonin, Anna de Mier
A flat of a matroid is cyclic if it is a union of circuits. The cyclic flats of a matroid form a lattice under inclusion. We study these lattices and explore matroids from the pers…