Isoperimetric inequalities in graphs and surfaces

DOI10.1016/j.endm.2014.08.034zbMath1338.05061OpenAlexW2061284174MaRDI QIDQ283719

José M. Rodríguez, Ana Granados, Alicia Cantón, Ana Portilla

Publication date: 13 May 2016

Full work available at URL: http://oa.upm.es/40203/

zbMATH Keywords

Riemann surfacesisoperimetric inequalityquasi-isometryinfinite graphslinear isoperimetric inequality

Mathematics Subject Classification ID

Applications of graph theory (05C90) Distance in graphs (05C12) Riemann surfaces (30F99) Infinite graphs (05C63)

Cites Work

• Rough isometries, and combinatorial approximations of geometries of non- compact Riemannian manifolds
• Manifolds of nonpositive curvature
• Related aspects of positivity in Riemannian geometry
• The exponent of convergence of Riemann surfaces. Bass Riemann surfaces
• On harmonic functions on trees
• Estimates for nonlinear harmonic measures on trees
• Escaping geodesics of Riemannian surfaces

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