79 search results - page 2 / 16 » Planarity of iterated line graphs |
COMBINATORICS
1999
13 years 10 months ago
1999
Let k denote the maximum degree of the kth iterated line graph Lk(G). For any connected graph G that is not a path, the inequality k+1 2k - 2 holds. Niepel, Knor, and Solt
ISAAC
2009
Springer
14 years 5 months ago
2009
Springer
It is shown that if a planar straight line graph (PSLG) with n vertices in general position in the plane can be augmented to a 3-edge-connected PSLG, then 2n−2 new edges are enou...
COMGEO
2008
ACM
13 years 10 months ago
2008
ACM
Consider a planar straight line graph (PSLG), G, with k connected components, k 2. We show that if no component is a singleton, we can always find a vertex in one component that s...
WG
2005
Springer
14 years 4 months ago
2005
Springer
To decide whether a line graph (hence a claw-free graph) of maximum degree five admits a stable cutset has been proven to be an NP-complete problem. The same result has been known...
CCCG
2007
14 years 9 days ago
2007
We propose a method for computing acute (non-obtuse) triangulations. That is, for a given two dimensional domain (a set of points or a planar straight line graph), we compute a tr...