Arnau Padrol

activity

20122026

most citedAssociahedra for finite type cluster algebras and minimal relations between

g

-vectors

17 citations · 73 across the 26 of their papers we have counts for

collaborators

Showing 2015Show all

3 papers · 1 filter

math.MG2015

Six topics on inscribable polytopes

Arnau Padrol, Günter M. Ziegler

Inscribability of polytopes is a classic subject but also a lively research area nowadays. We illustrate this with a selection of well-known results and recent developments on six…

math.MG2015★ 9 cited

Scribability problems for polytopes

Hao Chen, Arnau Padrol

In this paper we study various scribability problems for polytopes. We begin with the classical $k$ -scribability problem proposed by Steiner and generalized by Schulte, which asks…

math.CO2015

Polytopes with few vertices and few facets

Arnau Padrol

In this note we prove that the number of combinatorial types of $d$ -polytopes with $d + 1 + α$ vertices and $d + 1 + β$ facets is bounded by a constant independent of $d$ .