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153
Voted
GD
2001
Springer
15 years 8 months ago
Orthogonal Drawings of Plane Graphs without Bends
In an orthogonal drawing of a plane graph each vertex is drawn as a point and each edge is drawn as a sequence of vertical and horizontal line segments. A bend is a point at which...
Md. Saidur Rahman, Mahmuda Naznin, Takao Nishizeki
172
Voted
CORR
2008
Springer
141views Education» more  CORR 2008»
15 years 3 months ago
Obfuscated Drawings of Planar Graphs
Given a planar graph G, we consider drawings of G in the plane where edges are represented by straight line segments (which possibly intersect). Such a drawing is specified by an i...
Mihyun Kang, Oleg Pikhurko, Alexander Ravsky, Math...
155
Voted
COMGEO
2007
ACM
15 years 3 months ago
Graph drawings with few slopes
The slope-number of a graph G is the minimum number of distinct edge slopes in a straight-line drawing of G in the plane. We prove that for Δ 5 and all large n, there is a Δ-reg...
Vida Dujmovic, Matthew Suderman, David R. Wood
136
Voted
GD
2003
Springer
15 years 9 months ago
Three-Dimensional Grid Drawings with Sub-quadratic Volume
A three-dimensional grid drawing of a graph is a placement of the vertices at distinct points with integer coordinates, such that the straight line-segments representing the edges ...
Vida Dujmovic, David R. Wood
121
Voted
ICPR
2008
IEEE
15 years 10 months ago
Graph drawing using quantum commute time
In this paper, we explore experimentally the use of the commute time of the continuous-time quantum walk for graph drawing. For the classical random walk, the commute time has bee...
David Emms, Edwin R. Hancock, Richard C. Wilson