3 papers
math.RA2026
Extended generalized permutahedra, and cointeracting bialgebras
Gunnar Fløystad, Dominique Manchon
A Hopf monoid structure on extended generalized permutahedra (EGP) was recently introduced by M.Aguiar and F.Ardila. We investigate the existence of a cointeracting bialgebra struc…
math.CO2026
The five-sequence of adjoints for combinatorial simplicial complexes
Gunnar Fløystad
For a set let be the poset of simplicial complexes whose vertices are in . For a function there are functors $ f^{! !}, f^{**}, f^{i…
math.CO2025
Submodular functions, generalized permutahedra, conforming preorders, and cointeracting bialgebras
Gunnar Fløystad, Dominique Manchon
Submodular functions defined on the power set of a finite set are in bijection with generalized permutahedra $\egp(z)$. To any such we define a class of preorders, {\it con…