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COMPGEOM
2007
ACM
15 years 10 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...
ATMOS
2009
103views Optimization» more  ATMOS 2009»
15 years 7 months ago
Efficient Route Planning in Flight Networks
We present a set of three new time-dependent models with increasing flexibility for realistic route planning in flight networks. By these means, we obtain small graph sizes while m...
Daniel Delling, Thomas Pajor, Dorothea Wagner, Chr...
DM
2008
55views more  DM 2008»
15 years 6 months ago
Improved pebbling bounds
Consider a configuration of pebbles distributed on the vertices of a connected graph of order n. A pebbling step consists of removing two pebbles from a given vertex and placing o...
Melody Chan, Anant P. Godbole
COMBINATORICS
2004
74views more  COMBINATORICS 2004»
15 years 6 months ago
Enumerative Problems Inspired by Mayer's Theory of Cluster Integrals
The basic functional equations for connected and 2-connnected graphs can be traced back to the statistical physicists Mayer and Husimi. They play an essential role in establishing...
Pierre Leroux
ARSCOM
2008
117views more  ARSCOM 2008»
15 years 6 months ago
Subset Counting in Trees
Various enumeration problems for classes of simply generated families of trees have been the object of investigation in the past. We mention the enumeration of independent subsets,...
Stephan G. Wagner