10 citations · 37 across the 9 of their papers we have counts for
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math.CO2018★ 2 cited
Matroid-minor Hopf algebra: a cancellation-free antipode formula and other applications of sign-reversing involutions
Eric Bucher, Chris Eppolito, Jaiung Jun +1
In this paper, we give a cancellation-free antipode formula for the matroid-minor Hopf algebra. We then explore applications of this formula. For example, the cancellation-free for…
math.AC2018★ 6 cited
Reddening Sequences for Banff Quivers and the Class
Eric Bucher, John Machacek
We show that a reddening sequence exists for any quiver which is Banff. Our proof is combinatorial and relies on the triangular extension construction for quivers. The other facts…
math.AC2018★ 7 cited
Upper cluster algebras and choice of ground ring
Eric Bucher, John Machacek, Michael Shapiro
We initiate a study of the dependence on the choice of ground ring on the question of whether a cluster algebra is equal to its upper cluster algebra. A condition for when there is…