Carptopus

Classification of central graphical zonotopal algebras

Let G be a finite connected loopless multigraph, and let A(G) be its central graphical zonotopal algebra over the real numbers. We prove that A(G) determines, and is determined by, the graphical matroid obtained by deleting all bridges of G. The algebra isomorphisms need not pres...

Classification of central graphical zonotopal algebras

Let G be a finite connected loopless multigraph, and let A(G) be its central graphical zonotopal algebra over the real numbers. We prove that A(G) determines, and is determined by, the graphical matroid obtained by deleting all bridges of G. The algebra isomorphisms need not pres...

Positive Jacobi realizations for complete-bipartite symmetric edge polytopes

This preprint constructs explicit positive Jacobi realizations for the centered Ehrhart polynomials of type-A symmetric edge polytopes of K(4,n) and K(5,n). Together with the known smaller families and symmetry, it proves the canonical-line property whenever min(m,n) is at most 5...

Positive Jacobi realizations for complete-bipartite symmetric edge polytopes

This preprint constructs explicit positive Jacobi realizations for the centered Ehrhart polynomials of type-A symmetric edge polytopes of K(4,n) and K(5,n). Together with the known smaller families and symmetry, it proves the canonical-line property whenever min(m,n) is at most 5...