270 search results - page 2 / 54 » Diameter bounds for planar graphs |
MFCS
2004
Springer
13 years 10 months ago
2004
Springer
Abstract. Bidimensionality provides a tool for developing subexponential fixed-parameter algorithms for combinatorial optimization problems on graph families that exclude a minor....
JCT
2010
13 years 3 months ago
2010
In 1978, Chv´atal and Thomassen proved that every 2-edge-connected graph with diameter 2 has an orientation with diameter at most 6. They also gave general bounds on the smallest...
COMBINATORICS
2006
13 years 5 months ago
2006
A spanning tree T in a finite planar connected graph G determines a dual spanning tree T in the dual graph G such that T and T do not intersect. We show that it is not always poss...
CCCG
2003
13 years 6 months ago
2003
A decomposition of a polygon P is a set of polygons whose geometric union is exactly P. We consider the problem of decomposing a polygon, which may contain holes, using subpolygon...
DMTCS
2010
13 years 2 months ago
2010
We proved that every planar triangle-free graph with n vertices has a subset of vertices that induces a forest of size at least (71n + 72)/128. This improves the earlier work of S...