15 search results - page 2 / 3 » On the Connectivity of Graphs Embedded in Surfaces II |
WG
2010
Springer
13 years 3 months ago
2010
Springer
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
IPL
2010
13 years 3 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...
STACS
2009
Springer
13 years 11 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...
JCT
2002
13 years 4 months ago
2002
It is proved that there is a function f : N N such that the following holds. Let G be a graph embedded in a surface of Euler genus g with all faces of even size and with edge-wid...
COMBINATORICS
1999
13 years 4 months ago
1999
This is a continuation of our paper "A Theory of Pfaffian Orientations I: Perfect Matchings and Permanents". We present a new combinatorial way to compute the generating...