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Panelling planar graphs

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1998Publisher:Elsevier BVJournal:Discrete Applied Mathematics, volume 81, pages 109-122 (issn: 0166-218X,

Authors: Don Row; James Oxley;

doi: 10.1016/s0166-218x(97)00078-4

Panelling planar graphs

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Abstract

The 1-skeleton of a spherical polyhedron might also be viewed as the 1-skeleton of other panelled structures (perhaps having holes, for example). The authors characterize those collections of cycles of a planar graph that bound the panels of hinged-panel structures, and distinguish those arising from spherical polyhedra.

Related Organizations

Louisiana State University
United States
University of Tasmania
Australia

Keywords

Applied Mathematics, planar graph, cycles, panels, Discrete Mathematics and Combinatorics, spherical polyhedra, Paths and cycles, Planar graphs; geometric and topological aspects of graph theory

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