Sciweavers

Share
GD
2003
Springer

Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles

9 years 7 months ago
Characterizing Families of Cuts That Can Be Represented by Axis-Parallel Rectangles
A drawing of a family of cuts of a graph is an augmented drawing of the graph such that every cut in the family is represented by a simple closed curve and vice versa. We show that the families of cuts that admit a drawing in which every cut is represented by an axis-parallel rectangle are exactly those that have a cactus model that can be rooted such that edges of the graph that cross a cycle of the cactus point to the root. This includes the family of all minimum cuts of a graph. The proof also yields an efficient algorithm to construct a drawing with axis-parallel rectangles if it exists. Article Type Communicated by Submitted Revised regular paper G. Liotta January 2004 July 2005 Research partially supported by the DFG under grant BR 2158/1-1,2 and WA 654/131,2 and by the Human Potential Program of the EU under contract no HPRN-CT1999-00104 (AMORE Project).
Ulrik Brandes, Sabine Cornelsen, Dorothea Wagner
Added 06 Jul 2010
Updated 06 Jul 2010
Type Conference
Year 2003
Where GD
Authors Ulrik Brandes, Sabine Cornelsen, Dorothea Wagner
Comments (0)
books