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 …
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, …
… 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. …
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, …
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
… 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 …
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. …
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. …
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
… Previously, Storer presented a polynomial-time algorithm that … planar graph G, a layout for
G is a planar orthogonal grid … segment r(v), and every edge (U, v) to a vertical segment r(u, v) …
G is a planar orthogonal grid … segment r(v), and every edge (U, v) to a vertical segment r(u, v) …
Straight-line grid drawings of planar graphs with linear area
… point and each edge is drawn as a straight-line segment … planar graph of n vertices admits
a straight-line grid drawing … yield polynomialtime algorithms to find a straight-line drawing …
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 …
problem can be solved in polynomial … , the edge is drawn as one horizontal line segment and we …