Abstract
We begin with two planar generalizations of convexity, called O-convexity and strong O-convexity. We first define O-convex sets and present their basic properties (Sect. 2.1), then introduce a restricted-orientation analog of halfplanes (Sect. 2.2), and finally describe strong O-convexity (Sect. 2.3).
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© 2004 Springer-Verlag Berlin Heidelberg
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Fink, E., Wood, D. (2004). Two Dimensions. In: Restricted-Orientation Convexity. Monographs in Theoretical Computer Science. An EATCS Series. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18849-7_2
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DOI: https://doi.org/10.1007/978-3-642-18849-7_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-62323-3
Online ISBN: 978-3-642-18849-7
eBook Packages: Springer Book Archive