12 papers
From raw affiliations to organization identifiers
Myrto Kallipoliti, Serafeim Chatzopoulos, Miriam Baglioni +3
Accurate affiliation matching, which links affiliation strings to standardized organization identifiers, is critical for improving research metadata quality, facilitating comprehen…
Patterns in Shi tableaux and Dyck paths
Myrto Kallipoliti, Robin Sulzgruber, Eleni Tzanaki
Shi tableaux are special binary fillings of certain Young diagrams which arise in the study of Shi hyperplane arrangements related to classical root systems. For type , the set…
Bijections between generalized Catalan families of types A and C
Myrto Kallipoliti, Eleni Tzanaki
Motivated by the relation holding for the m-generalized Catalan numbers of type A and C, the connection between dominant regions of the m-Shi arrangement of type A and C is investi…
Edgewise Cohen-Macaulay connectivity of partially ordered sets
Christos A. Athanasiadis, Myrto Kallipoliti
The proper parts of face lattices of convex polytopes are shown to satisfy a strong form of the Cohen--Macaulay property, namely that removing from their Hasse diagram all edges in…
The -Cover Posets and Their Applications
Myrto Kallipoliti, Henri Mühle
In this article we introduce the -cover poset of an arbitrary bounded poset , which is a certain subposet of the -fold direct product of with itsel…
Towards m-Cambrian Lattices
Myrto Kallipoliti, Henri Mühle
For positive integers and , we introduce a family of lattices associated to the Cambrian lattice of the dihedral group .…
Facets of the -generalized cluster complex and regions in the -extended Catalan arrangement of type
Susanna Fishel, Myrto Kallipoliti, Eleni Tzanaki
In this paper we present a bijection between two well known families of Catalan objects: the set of facets of the -generalized cluster complex and the set of do…
On the Topology of the Cambrian Semilattices
Myrto Kallipoliti, Henri Mühle
For an arbitrary Coxeter group , David Speyer and Nathan Reading defined Cambrian semilattices as semilattice quotients of the weak order on induced by certain semilat…
A poset fiber theorem for doubly Cohen-Macaulay posets and its applications to non-crossing partitions and injective words
Myrto Kallipoliti, Martina Kubitzke
This paper studies topological properties of the lattices of non-crossing partitions of types A and B and of the poset of injective words. Specifically, it is shown that after the…
The absolute order on the hyperoctahedral group
Myrto Kallipoliti
The absolute order on the hyperoctahedral group is investigated. It is proved that the order ideal of this poset generated by the Coxeter elements is homotopy Cohen-Macaulay…
The absolute order on the symmetric group, constructible partially ordered sets and Cohen-Macaulay complexes
Christos A. Athanasiadis, Myrto Kallipoliti
The absolute order is a natural partial order on a Coxeter group W. It can be viewed as an analogue of the weak order on W in which the role of the generating set of simple reflect…
Simply connected homogeneous continua are not separated by arcs
Myrto Kallipoliti, Panos Papasoglu
We show that locally connected, simply connected homogeneous continua are not separated by arcs. We ask several questions about homogeneous continua which are inspired by analogous…