Abstract | ||
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We explore several problems related to ruled polygons. Given a ruling of a polygon $P$, we consider the Reeb graph of $P$ induced by the ruling. We define the Reeb complexity of $P$, which roughly equates to the minimum number of points necessary to support $P$. We give asymptotically tight bounds on the Reeb complexity that are also tight up to a small additive constant. When restricted to the set of parallel rulings, we show that the Reeb complexity can be computed in polynomial time. |
Year | Venue | DocType |
---|---|---|
2017 | CCCG | Conference |
Volume | Citations | PageRank |
abs/1707.00826 | 0 | 0.34 |
References | Authors | |
0 | 3 |
Name | Order | Citations | PageRank |
---|---|---|---|
Nicholas J. Cavanna | 1 | 4 | 1.86 |
Marc Khoury | 2 | 0 | 0.34 |
Donald R. Sheehy | 3 | 1 | 1.38 |