DOAJ Open Access 2012

Multi-cluster complexes

Cesar Ceballos Jean-Philippe Labbé Christian Stump

Lihat Sumber DOI

Abstrak

We present a family of simplicial complexes called \emphmulti-cluster complexes. These complexes generalize the concept of cluster complexes, and extend the notion of multi-associahedra of types ${A}$ and ${B}$ to general finite Coxeter groups. We study combinatorial and geometric properties of these objects and, in particular, provide a simple combinatorial description of the compatibility relation among the set of almost positive roots in the cluster complex.

Topik & Kata Kunci

Mathematics

Penulis (3)

Cesar Ceballos

Jean-Philippe Labbé

Christian Stump

Format Sitasi

APA MLA BibTeX

Ceballos, C., Labbé, J., Stump, C. (2012). Multi-cluster complexes. https://doi.org/10.46298/dmtcs.3014

Akses Cepat

Lihat di Sumber doi.org/10.46298/dmtcs.3014

Informasi Jurnal

Tahun Terbit: 2012
Sumber Database: DOAJ
DOI: 10.46298/dmtcs.3014
Akses: Open Access ✓