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CPC
2010
103views more  CPC 2010»
13 years 5 months ago
Duality of Ends
We investigate the end spaces of infinite dual graphs. We show that there exists a natural homeomorphism between the end spaces of a graph and its dual, and that this homeomorphis...
Henning Bruhn, Maya Jakobine Stein
COMPGEOM
2004
ACM
13 years 10 months ago
The geometric thickness of low degree graphs
We prove that the geometric thickness of graphs whose maximum degree is no more than four is two. In our proofs, we present a space and time efficient embedding technique for gra...
Christian A. Duncan, David Eppstein, Stephen G. Ko...
GD
2005
Springer
13 years 10 months ago
Bar k-Visibility Graphs: Bounds on the Number of Edges, Chromatic Number, and Thickness
Let S be a set of horizontal line segments, or bars, in the plane. We say that G is a bar visibility graph, and S its bar visibility representation, if there exists a one-to-one co...
Alice M. Dean, William Evans, Ellen Gethner, Joshu...
GD
2005
Springer
13 years 10 months ago
Graph Treewidth and Geometric Thickness Parameters
Consider a drawing of a graph G in the plane such that crossing edges are coloured differently. The minimum number of colours, taken over all drawings of G, is the classical graph...
Vida Dujmovic, David R. Wood
DM
2000
91views more  DM 2000»
13 years 5 months ago
Perfection thickness of graphs
We determine the order of growth of the worst-case number of perfect subgraphs needed to cover an n-vertex graph.
Hirotsugu Asari, Tao Jiang, André Künd...