Connectivity of chamber graphs of buildings and related complexes - Mathematics > CombinatoricsReportar como inadecuado




Connectivity of chamber graphs of buildings and related complexes - Mathematics > Combinatorics - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

Abstract: Let \Delta be a finite building or, more generally, a thick spherical andlocally finite building. The chamber graph G\Delta, whose edges are thepairs of adjacent chambers in \Delta, is known to be q-regular for a certainnumber q=q\Delta. Our main result is that G\Delta is q-connected in thesense of graph theory.Similar results are proved for the chamber graphs of Coxeter complexes andfor order complexes of geometric lattices.



Autor: Anders Björner, Kathrin Vorwerk

Fuente: https://arxiv.org/



DESCARGAR PDF




Documentos relacionados