Myrto Kallipoliti

activity

20062025

collaborators

Showing 2013Show all

3 papers · 1 filter

math.CO2013

The $m$ -Cover Posets and Their Applications

Myrto Kallipoliti, Henri Mühle

In this article we introduce the $m$ -cover poset of an arbitrary bounded poset $P$ , which is a certain subposet of the $m$ -fold direct product of $P$ with itsel…

math.CO2013

Towards m-Cambrian Lattices

Myrto Kallipoliti, Henri Mühle

For positive integers $m$ and $k$ , we introduce a family of lattices $C_{k}^{(m)}$ associated to the Cambrian lattice $C_{k}$ of the dihedral group $I_{2} (k)$ .…

math.CO2013

Facets of the $m$ -generalized cluster complex and regions in the $m$ -extended Catalan arrangement of type $A_{n}$

Susanna Fishel, Myrto Kallipoliti, Eleni Tzanaki

In this paper we present a bijection $ω_{n}$ between two well known families of Catalan objects: the set of facets of the $m$ -generalized cluster complex $Δ^{m} (A_{n})$ and the set of do…

The m-Cover Posets and Their Applications

Towards m-Cambrian Lattices

Facets of the m-generalized cluster complex and regions in the m-extended Catalan arrangement of type An​

The $m$ -Cover Posets and Their Applications

Facets of the $m$ -generalized cluster complex and regions in the $m$ -extended Catalan arrangement of type $A_{n}$