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math.DG2019
On Critical nets in
Antoine Gournay, Yashar Memarian
Critical nets in (sometimes called geodesic nets) are embedded graph with the property that their embedding is a critical point of the total (edge) length functional…
math.DG2014★ 4 cited
An isoperimetric constant for signed graphs
Antoine Gournay
A sign is introduced in the usual Laplacian on graphs and the corresponding analogue of the isoperimetric constant for this Laplacian is presented, i.e. a geometric quantity which…
math.DG2010★ 3 cited
Complex surfaces and interpolation on pseudo-holomorphic cylinders
Antoine Gournay
Gromov has shown how to construct holomorphic maps of the plane to a complex manifold with prescribed values on a lattice. In the present paper, a similar interpolation theorem for…