9 citations · 10 across the 5 of their papers we have counts for
4 papers · 1 filter
On Infinite Matroids with Strong Maps: Proto-exactness and Finiteness Conditions
Chris Eppolito, Jaiung Jun
This paper investigates infinite matroids from a categorical perspective. We prove that the category of infinite matroids is a proto-exact category in the sense of Dyckerhoff and K…
On the Hopf algebra of multi-complexes
Miodrag Iovanov, Jaiung Jun
We introduce a general class of combinatorial objects, which we call \emph{multi-complexes}, which simultaneously generalizes graphs, multigraphs, hypergraphs and simplicial and de…
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…
Hopf algebras for matroids over hyperfields
Christopher Eppolito, Jaiung Jun, Matt Szczesny
Recently, M.~Baker and N.~Bowler introduced the notion of matroids over hyperfields as a unifying theory of various generalizations of matroids. In this paper we generalize the not…