A note on tilings and strong isoperimetric inequality
We show that the edge graph of a locally finite tiling in the plane satisfies a strong isoperimetric inequality if one among the lower averages of what we call the characteristic numbers of edges, vertices and tiles is positive.
Gespeichert in:
| Veröffentlicht in: | Mathematical proceedings of the Cambridge Philosophical Society 1998-11, Vol.124 (3), p.385-393, Article S0305004197002429 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Zusammenfassung: | We show that the edge graph of a locally finite tiling in the plane
satisfies a
strong isoperimetric inequality if one among the lower averages of what
we call the
characteristic numbers of edges, vertices and tiles is positive. |
|---|---|
| ISSN: | 0305-0041 1469-8064 |
| DOI: | 10.1017/S0305004197002429 |