Plane Geometric Graph Augmentation: A Generic Perspective

  • Ferran Hurtado
  • Csaba D. Tóth


Graph augmentation problems are motivated by network design and have been studied extensively in optimization. We consider augmentation problems over plane geometric graphs, that is, graphs given with a crossing-free straight-line embedding in the plane. The geometric constraints on the possible new edges render some of the simplest augmentation problems intractable, and in many cases only extremal results are known. We survey recent results, highlight common trends, and gather numerous conjectures and open problems.


Planar Graph Hamiltonian Cycle Geometric Graph Congestion Game Stretch Factor 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



Research by Ferran Hurtado has been partially supported by projects MEC MTM2009-07242, ESF EUROCORES programme EuroGIGA, CRP ComPoSe: MICINN Project EUI-EURC-2011-4306, and Gen. Catalunya DGR 2009SGR1140. Research by Csaba Tóth has been partially supported by NSERC Grant RGPIN 35586 and the NSF Grant CCF-0830734, by the Tóth has been conducted at Tufts University, Medford, MA, USA.


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© Springer Science+Business Media New York 2013

Authors and Affiliations

  1. 1.Departament de Matemàtica Aplicada IIUniversitat Politècnica de Catalunya (UPC)BarcelonaSpain
  2. 2.Department of Mathematics and StatisticsUniversity of CalgaryCalgaryCanada

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