SODA
2012
ACM
11 years 6 months ago
2012
ACM
Bidimensionality theory was introduced by Demaine et al. [JACM 2005 ] as a framework to obtain algorithmic results for hard problems on minor closed graph classes. The theory has ...
COMPGEOM
2011
ACM
12 years 8 months ago
2011
ACM
Abstract. We study the grid size that is needed to represent intersection graphs of convex polygons. Here the polygons are similar to a base polygon P whose corners have rational c...
DAM
2011
12 years 11 months ago
2011
We study various optimization problems in t-subtree graphs, the intersection graphs of tsubtrees, where a t-subtree is the union of t disjoint subtrees of some tree. This graph cl...
WAOA
2010
Springer
13 years 2 months ago
2010
Springer
We study approximation solutions for the densest k-subgraph problem (DS-k) on several classes of intersection graphs. We adopt the concept of -quasi elimination orders, introduced ...
JGAA
2010
13 years 2 months ago
2010
We investigate which chordal graphs have a representation as intersection graphs of pseudosegments. For positive we have a construction which shows that all chordal graphs that ca...
GD
2009
Springer
13 years 7 months ago
2009
Springer
We show that recognizing intersection graphs of convex sets has the same complexity as deciding truth in the existential theory of the reals. Comparing this to similar results on t...
WG
2004
Springer
13 years 9 months ago
2004
Springer
A unit disk graph is the intersection graph of unit disks in the euclidean plane. We present a polynomial-time approximation scheme for the maximum weight independent set problem i...
ISAAC
2009
Springer
13 years 11 months ago
2009
Springer
We give a simple framework which is an alternative to the celebrated and widely used shifting strategy of Hochbaum and Maass [J. ACM, 1985] which has yielded efficient algorithms ...