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Planarity

2013
In this chapter the authors consider a property of a whole graph, which is of theoretical and practical importance. The concept addresses the possibility of drawing a given graph in a plane such that none of its edges intersect. The authors find this property, named planarity, very useful in application.
Hossein Hojabri, Elnaz Miandoabchi
openaire   +1 more source

Planar Membranes Interaction

The Journal of Physical Chemistry B, 2006
The system of two parallel planar, arbitrarily charged surfaces immersed in a solution containing only one ionic species, the counterions, is completely analyzed under a mean field Poisson-Boltzmann approach. Results for the pressure, reduced potential, and counterionic concentration are graphically displayed for two dissociating membranes and for a ...
Agostinho-Neto, A., Drigo Filho, Elso
openaire   +3 more sources

Shortcutting Planar Digraphs

Combinatorics, Probability and Computing, 1995
This paper presents a constructive proof that for any planar digraph G on p vertices, there exists a subset S of the transitive closure of G such that the number of arcs in S is less than or equal to the number of arcs in G, and such that the diameter of G∪S is O(α(p, p)(log p)2).
openaire   +1 more source

Planarity

2023
Gary Chartrand   +3 more
openaire   +1 more source

Planarity

2000
Joan M. Aldous, Robin J. Wilson
  +4 more sources

Planar gradient metamaterials

Nature Reviews Materials, 2016
Yadong Xu, Yangyang Fu, Huanyang Chen
exaly  

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