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Spherical-Rectangular Drawings

Hasheminezhad, Mahdieh; Hashemi, S Mehdi; McKay, Brendan


We extend the concept of rectangular drawing to drawings on a sphere using meridians and circles of latitude such that each face is bounded by at most two circles and at most two meridians. This is called spherical-rectangular drawing. Special cases include drawing on a cylinder, a cone, or a lattice of concentric circles on the plane. In this paper, we prove necessary and sufficient conditions for cubic planar graphs to have spherical-rectangular drawings, and show that one can find in linear...[Show more]

CollectionsANU Research Publications
Date published: 2009
Type: Book chapter
DOI: 10.1007/978-3-642-00202-1_30


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