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105
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COMPGEOM
2007
ACM
15 years 3 months ago
Embedding 3-polytopes on a small grid
We show how to embed a 3-connected planar graph with n vertices as a 3-polytope with small integer coordinates. The coordinates are bounded by O(27.55n ). The crucial part is the ...
Ares Ribó Mor, Günter Rote, Andr&eacut...
INFORMATICALT
2006
80views more  INFORMATICALT 2006»
14 years 11 months ago
Scheduling Trajectories on a Planar Surface with Moving Obstacles
An algorithm for scheduling the trajectory of a point object, which moves on a plane surface comprising of moving obstacles, is introduced. Different quantitative criteria may be m...
Emmanuel Stefanakis
JGT
2006
98views more  JGT 2006»
14 years 11 months ago
Group chromatic number of planar graphs of girth at least 4
Jeager et al introduced a concept of group connectivity as an generalization of nowhere zero flows and its dual concept group coloring, and conjectured that every 5-edge connected...
Hong-Jian Lai, Xiangwen Li
DIMACS
1996
15 years 29 days ago
On the Expression of Graph Properties in some Fragments of Monadic Second-Order Logic
: We review the expressibility of some basic graph properties in certain fragments of Monadic Second-Order logic, like the set of Monadic-NP formulas. We focus on cases where a pro...
Bruno Courcelle
111
Voted
DCG
2011
14 years 6 months ago
Small Grid Embeddings of 3-Polytopes
We introduce an algorithm that embeds a given 3-connected planar graph as a convex 3-polytope with integer coordinates. The size of the coordinates is bounded by O(27.55n ) = O(18...
Ares Ribó Mor, Günter Rote, Andr&eacut...