120 citations · 245 across the 69 of their papers we have counts for
4 papers · 1 filter
From Chio Pivotal Condensation to the Matrix-Tree theorem
Darij Grinberg, Karthik Karnik, Anya Zhang
We show a determinant identity which generalizes both the Chio pivotal condensation theorem and the Matrix-Tree theorem.
Generalized Whitney formulas for broken circuits in ambigraphs and matroids
Darij Grinberg
We explore several generalizations of Whitney's theorem -- a classical formula for the chromatic polynomial of a graph. Following Stanley, we replace the chromatic polynomial by th…
The Bernstein homomorphism via Aguiar-Bergeron-Sottile universality
Darij Grinberg
If H is a commutative connected graded Hopf algebra over a commutative ring k, then a certain canonical k-algebra homomorphism H -> H (x) QSym is defined, where QSym denotes the Ho…
Proof of a conjecture of Bergeron, Ceballos and Labbé
Darij Grinberg, Alexander Postnikov
The reduced expressions for a given element of a Coxeter group can be regarded as the vertices of a directed graph ; its arcs correspond to the braid m…