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DAM
2011
13 years 2 months ago
Optimization problems in multiple subtree graphs
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...
Danny Hermelin, Dror Rawitz
COMPGEOM
2011
ACM
12 years 11 months ago
Integer representations of convex polygon intersection graphs
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...
Tobias Müller, Erik Jan van Leeuwen, Jan van ...
GD
2003
Springer
14 years 20 days ago
Intersection-Free Morphing of Planar Graphs
Given two different drawings of a planar graph we consider the problem of morphing one drawing into the other. We designed and implemented an algorithm for intersection-free morph...
Cesim Erten, Stephen G. Kobourov, Chandan Pitta
JGT
2008
107views more  JGT 2008»
13 years 7 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir
DAM
2002
91views more  DAM 2002»
13 years 7 months ago
NeST graphs
We establish results on NeST graphs (intersection tolerance graphs of neighborhood subtrees of a tree) and several subclasses. In particular, we show the equivalence of proper NeS...
Ryan B. Hayward, Paul E. Kearney, Andrew J. Malton