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» Small Grid Embeddings of 3-Polytopes
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COMPGEOM
2007
ACM
13 years 11 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...
DCG
2011
13 years 1 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...
ICCSA
2004
Springer
14 years 10 days ago
On Local Transformations in Plane Geometric Graphs Embedded on Small Grids
Manuel Abellanas, Prosenjit Bose, Alfredo Garc&iac...
CORR
2002
Springer
115views Education» more  CORR 2002»
13 years 6 months ago
Simultaneous Embedding of a Planar Graph and Its Dual on the Grid
Traditional representations of graphs and their duals suggest the requirement that the dual vertices should be placed inside their corresponding primal faces, and the edges of the ...
Cesim Erten, Stephen G. Kobourov
APPROX
2008
Springer
184views Algorithms» more  APPROX 2008»
13 years 9 months ago
Approximately Counting Embeddings into Random Graphs
Let H be a graph, and let CH(G) be the number of (subgraph isomorphic) copies of H contained in a graph G. We investigate the fundamental problem of estimating CH(G). Previous res...
Martin Fürer, Shiva Prasad Kasiviswanathan