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» On Graph Crossing Number and Edge Planarization
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COMPGEOM
1995
ACM
15 years 4 months ago
On Conway's Thrackle Conjecture
A thrackle is a graph drawn in the plane so that its edges are represented by Jordan arcs and any two distinct arcs either meet at exactly one common vertex or cross at exactly on...
László Lovász, János P...
DM
2008
127views more  DM 2008»
15 years 14 days ago
An adjacency lemma for critical multigraphs
In edge colouring it is often useful to have information about the degree distribution of the neighbours of a given vertex. For example, the well known Vizing's Adjacency Lem...
David Cariolaro
93
Voted
GD
2007
Springer
15 years 6 months ago
Line Crossing Minimization on Metro Maps
We consider the problem of drawing a set of simple paths along the edges of an embedded underlying graph G = (V, E), so that the total number of crossings among pairs of paths is m...
Michael A. Bekos, Michael Kaufmann, Katerina Potik...
COMBINATORICS
2006
135views more  COMBINATORICS 2006»
15 years 13 days ago
Drawing a Graph in a Hypercube
A d-dimensional hypercube drawing of a graph represents the vertices by distinct points in {0, 1}d, such that the line-segments representing the edges do not cross. We study lower...
David R. Wood
IWC
2000
99views more  IWC 2000»
15 years 6 days ago
Effective information visualisation: a study of graph drawing aesthetics and algorithms
Information visualisation systems which generate diagrams representing discrete relational information must consider potential users if they are to be effective. Many algorithms w...
Helen C. Purchase