Which point sets admit a $k$-angulation?

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...

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Bibliographic Details
Main Authors: Michael S. Payne, Jens M. Schmidt, David R. Wood
Format: Article
Language:English
Published: Carleton University 2014-03-01
Series:Journal of Computational Geometry
Online Access:http://jocg.org/index.php/jocg/article/view/92