63 search results - page 8 / 13 » Probabilistic embeddings of bounded genus graphs into planar... |
CORR
2007
Springer
13 years 7 months ago
2007
Springer
A barycentric mapping of a planar graph is a plane embedding in which every internal vertex is the average of its neighbours. A celebrated result of Tutte’s [16] is that if a pl...
STOC
1990
ACM
13 years 11 months ago
1990
ACM
ions (Extended Abstract) Noga Alon Paul Seymour Robin Thomas Let G be an n-vertex graph with nonnegative weights whose sum is 1 assigned to its vertices, and with no minor isomorp...
STOC
2009
ACM
14 years 8 months ago
2009
ACM
We describe the first algorithm to compute maximum flows in surface-embedded graphs in near-linear time. Specifically, given a graph embedded on a surface of genus g, with two spe...
JGT
2007
13 years 7 months ago
2007
It is known that for every integer k ≥ 4, each k-map graph with n vertices has at most kn − 2k edges. Previously, it was open whether this bound is tight or not. We show that ...
COMPGEOM
2007
ACM
13 years 11 months ago
2007
ACM
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 ...