4 papers
The Redei-Berge Hopf algebra of digraphs
Vladimir Grujić, Tanja Stojadinović
In a series of recent talks Richard Stanley introduced a symmetric function associated to digraphs called the Redei-Berge symmetric function. This symmetric function enumerates des…
Between graphical zonotope and graph-associahedron
Marko Pešović, Tanja Stojadinović
This manuscript introduces a finite collection of generalized permutohedra associated to a simple graph. The first polytope of this collection is the graphical zonotope of the grap…
Weighted partitions enumerator
Marko Pešović, Tanja Stojadinović, Vladimir Grujić
To an extended permutohedron we associate the weighted integer points enumerator, whose principal specialization is the -polynomial. In the case of poset cones it refines Gessel…
Counting faces of nestohedra
Vladimir Grujić, Tanja Stojadinović
A new algebraic formula for the numbers of faces of nestohedra is obtained. The enumerator function of positive lattice points in interiors of maximal cones of the normal…