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» Bidimensionality and geometric graphs
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DIS
2007
Springer
13 years 11 months ago
Time and Space Efficient Discovery of Maximal Geometric Graphs
A geometric graph is a labeled graph whose vertices are points in the 2D plane with an isomorphism invariant under geometric transformations such as translation, rotation, and scal...
Hiroki Arimura, Takeaki Uno, Shinichi Shimozono
GD
2006
Springer
13 years 11 months ago
Choosing Colors for Geometric Graphs Via Color Space Embeddings
Graph drawing research traditionally focuses on producing geometric embeddings of graphs satisfying various aesthetic constraints. However additional work must still be done to dra...
Michael B. Dillencourt, David Eppstein, Michael T....
IWPEC
2009
Springer
14 years 2 months ago
Planar Capacitated Dominating Set Is W[1]-Hard
Given a graph G together with a capacity function c : V (G) → N, we call S ⊆ V (G) a capacitated dominating set if there exists a mapping f : (V (G) \ S) → S which maps every...
Hans L. Bodlaender, Daniel Lokshtanov, Eelko Penni...
GD
1998
Springer
13 years 11 months ago
Geometric Thickness of Complete Graphs
We define the geometric thickness of a graph to be the smallest number of layers such that we can draw the graph in the plane with straightline edges and assign each edge to a lay...
Michael B. Dillencourt, David Eppstein, Daniel S. ...
GC
2007
Springer
13 years 7 months ago
Gray Code Enumeration of Plane Straight-Line Graphs
We develop Gray code enumeration schemes for geometric graphs in the plane. The considered graph classes include plane straight-line graphs, plane spanning trees, and connected pl...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...