| Autor: |
Michael S. Payne, Jens M. Schmidt, David R. Wood |
| Jazyk: |
angličtina |
| Rok vydání: |
2014 |
| Předmět: |
|
| Zdroj: |
Journal of Computational Geometry, Vol 5, Iss 1 (2014) |
| Druh dokumentu: |
article |
| ISSN: |
1920-180X |
| DOI: |
10.20382/jocg.v5i1a3 |
| Popis: |
For \(k\ge 3\), a \(k\)-angulation is a 2-connected plane graph in which every internal face is a \(k\)-gon. We say that a point set \(P\) admits a plane graph \(G\) if there is a straight-line drawing of \(G\) that maps \(V(G)\) onto \(P\) and has the same facial cycles and outer face as \(G\). We investigate the conditions under which a point set \(P\) admits a \(k\)-angulation and find that, for sets containing at least \(2k^2\) points, the only obstructions are those that follow from Euler's formula. |
| Databáze: |
Directory of Open Access Journals |
| Externí odkaz: |
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