Rhombic embeddings of planar graphs with faces of degree 4

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dc.creatorKenyon, Richard
dc.creatorSchlenker, Jean-Marc
dc.date2003-05-27
dc.date.accessioned2026-07-07T06:24:35Z
dc.date.available2026-07-07T06:24:35Z
dc.descriptionGiven a finite or infinite planar graph all of whose faces have degree 4, we study embeddings in the plane in which all edges have length 1, that is, in which every face is a rhombus. We give a necessary and sufficient condition for the existence of such an embedding, as well as a description of the set of all such embeddings.
dc.description11 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/math-ph/0305057
dc.identifierhttp://arxiv.org/abs/math-ph/0305057
dc.identifierTrans. Amer. Math. Soc., 357 (2005), 3443-3458.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96590
dc.subjectMathematical Physics
dc.subjectDifferential Geometry
dc.titleRhombic embeddings of planar graphs with faces of degree 4
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