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4 papers · 2 filters
Decomposable polymatroids and connections with graph coloring
Joseph E. Bonin, Carolyn Chun
We introduce ideas that complement the many known connections between polymatroids and graph coloring. Given a hypergraph that satisfies certain conditions, we construct polymatroi…
Enriched set-valued P-partitions and shifted stable Grothendieck polynomials
Joel Brewster Lewis, Eric Marberg
We introduce an enriched analogue of Lam and Pylyavskyy's theory of set-valued -partitions. An an application, we construct a -theoretic version of Stembridge's Hopf algebra…
Factorization problems in complex reflection groups
Joel Brewster Lewis, Alejandro H. Morales
We enumerate factorizations of a Coxeter element in a well generated complex reflection group into arbitrary factors, keeping track of the fixed space dimension of each factor. In…
A Basic Structure for Grids in Surfaces
Lowell Abrams, Daniel Slilaty
A graph embedded in a surface is called an -grid when every facial boundary walk has length four, that is, the topological dual graph of in is 4-regular. Aside f…