Drawing planar graphs with few segments on a polynomial grid

P Kindermann, T Mchedlidze, T Schneck… - … on Graph Drawing and …, 2019 - Springer
… In this paper, we study planar graph drawings where edges are represented by few segments
We also show that 3-connected planar graphs and biconnected outerplanar graphs have a …

Drawing Planar Graphs with Few Segments on a Polynomial Grid

A Symvonis - Graph Drawing and Network Visualization - Springer
… , we study planar graph drawings where edges are represented by few segments. In such a
… 2, we show that every tree has a drawing with at most 3n / 4 − 1 segments on the n× n grid, …

How to draw a planar graph on a grid

H De Fraysseix, J Pach, R Pollack - Combinatorica, 1990 - Springer
… one can always find a polynomial sized grid to support such an … a F~try embedding of every
planar graph of size n, has … straight line segments and the vertices are points in the plane. …

[BOOK][B] Planar graph drawing

T Nishizeki, MS Rahman - 2004 - books.google.com
… nar graph has a straight line drawing on a grid of a polynomial … We also include recent
results on convex grid drawings by … is drawn as a chain of horizontal and vertical line segments, …

A note on minimum-segment drawings of planar graphs

S Durocher, D Mondal, RI Nishat… - Journal of Graph …, 2013 - jgaa.info
… the number of segments required by straight-line drawings of … graph parameter for planar
graphs, which we call “segment … Proof: Given a drawing Γ of G, in polynomial time in the input …

Drawing planar graphs with few geometric primitives

G Hültenschmidt, P Kindermann, W Meulemans… - … Workshop on Graph …, 2017 - Springer
… Let n denote the number of vertices of a graph. We show … drawn with 3n / 4 straight-line
segments on a polynomial grid, and with n / 2 straight-line segments on a quasi-polynomial grid. …

A framework for drawing planar graphs with curves and polylines

MT Goodrich, CG Wagner - Journal of Algorithms, 2000 - Elsevier
… For example, in grid polyline or curve drawings we require that bend points and control …
segments of the polyline edges, we 1 have angular resolution of in the planar curve grid drawing. …

Lower bounds and parallel algorithms for planar orthogonal grid drawings

R Tamassia, IG Tollis, JS Vitter - Proceedings of the Third IEEE …, 1991 - ieeexplore.ieee.org
… Previously, Storer presented a polynomial-time algorithm that … planar graph G, a layout for
G is a planar orthogonal gridsegment r(v), and every edge (U, v) to a vertical segment r(u, v) …

Straight-line grid drawings of planar graphs with linear area

MR Karim, MS Rahman - 2007 6th International Asia-Pacific …, 2007 - ieeexplore.ieee.org
… point and each edge is drawn as a straight-line segmentplanar graph of n vertices admits
a straight-line grid drawing … yield polynomialtime algorithms to find a straight-line drawing

Planar polyline drawings with good angular resolution

C Gutwenger, P Mutzel - International Symposium on Graph Drawing, 1998 - Springer
… Kant for polyline grid drawings for triconnected plane graphs [23]. … G is NP-hard [17], the
problem can be solved in polynomial … , the edge is drawn as one horizontal line segment and we …