Fáry's theorem

Known as: Fary theorem, Fary's Theorem, Fáry theorem

In mathematics, Fáry's theorem states that any simple planar graph can be drawn without crossings so that its edges are straight line segments. That…

Papers overview

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2017

Piece-wise linear structures are widely used to define problems and to represent simplified solutions in computational geometry…

2015

A natural way to represent on the plane both a planar graph and its dual is to follow the definition of the dual, thus, to place…

2012

We show that every plane graph admits a planar straight-line drawing in which all faces with more than three vertices are…

2011

We study the following problem introduced by Dujmovic et al. Given a tree $T = (V,E)$, on $n$ vertices, a set of $n$ lines…

2010

2008

In a planar straight-line drawing of a tree T on k layers, each vertex is placed on one of k horizontal lines called layers and…

2004

The number of isolated intersections between a smooth curve in Euclidean space and an arbitrary hyperplane can be majorized by a…