63 search results - page 1 / 13 » Probabilistic embeddings of bounded genus graphs into planar... |
COMPGEOM
2007
ACM
13 years 11 months ago
2007
ACM
COMPGEOM
2009
ACM
14 years 2 months ago
2009
ACM
It was shown in [11] that any orientable graph of genus g can be probabilistically embedded into a graph of genus g − 1 with constant distortion. Removing handles one by one giv...
JGT
2007
13 years 7 months ago
2007
: Let G be a 3-connected planar graph and G∗ be its dual. We show that the pathwidth of G∗ is at most 6 times the pathwidth of G. We prove this result by relating the pathwidth...
STACS
2009
Springer
14 years 2 months ago
2009
Springer
We present the first polynomial-time approximation schemes (PTASes) for the following subset-connectivity problems in edge-weighted graphs of bounded genus: Steiner tree, low-conn...
IPL
2010
13 years 6 months ago
2010
We show that any face hitting set of size n of a connected planar graph with a minimum degree of at least 3 is contained in a connected subgraph of size 5n − 6. Furthermore we s...