306 search results - page 15 / 62 » Computing the Girth of a Planar Graph |
WG
2007
Springer
14 years 1 months ago
2007
Springer
We study a variation of the vertex cover problem where it is required that the graph induced by the vertex cover is connected. We prove that this problem is polynomial in chordal g...
GD
2008
Springer
13 years 8 months ago
2008
Springer
A nonplanar graph G is near-planar if it contains an edge e such that G − e is planar. The problem of determining the crossing number of a near-planar graph is exhibited from di...
STOC
2010
ACM
14 years 16 days ago
2010
ACM
We give the first polynomial-time approximation scheme (PTAS) for the Steiner forest problem on planar graphs and, more generally, on graphs of bounded genus. As a first step, w...
GD
2009
Springer
14 years 9 days ago
2009
Springer
A graph G is a support for a hypergraph H = (V, S) if the vertices of G correspond to the vertices of H such that for each hyperedge Si ∈ S the subgraph of G induced by Si is co...
FCT
2009
Springer
13 years 11 months ago
2009
Springer
We show that the reachability problem for directed graphs that are either K3,3-free or K5-free is in unambiguous log-space, UL coUL. This significantly extends the result of Bour...