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math.DG2008★ 4 cited
Total curvature and isotopy of graphs in
Robert Gulliver, Sumio Yamada
Knot theory is the study of isotopy classes of embeddings of the circle into a 3-manifold, specifically . The Fáry-Milnor Theorem says that any curve in of total c…
math.DG2004
Area density and regularity for soap film-like surfaces spanning graphs
Robert Gulliver, Sumio Yamada
For a given boundary set consisting of arcs and vertices, with two or more arcs meeting at each vertex, we treat the problem of estimating the area density of a soap film-like surf…