Title
Coverings and structure of crossing families
Abstract
   The second problem we consider is to find a compact representation of F. We prove that there exists a so-called hypercactus K of size O(|V|), consisting of cycles and (hyper)edges arranged in a tree-like manner, and a mapping from V to V(K) in such a way that there is a bijection between the minimum cuts of K and the members of F. If F corresponds to the minimum cuts of a k-edge-connected graph then K reduces to the well-known cactus representation of minimum cuts due to Dinitz et al.
Year
DOI
Venue
1999
10.1007/s101070050035
Math. Program.
Keywords
Field
DocType
minimum cut,connected graph
Graph theory,Discrete mathematics,Graph,Combinatorics,Mathematical optimization,Bijection,Existential quantification,Combinatorial optimization,Connectivity,Mathematics
Journal
Volume
Issue
ISSN
84
3
1436-4646
Citations 
PageRank 
References 
2
0.42
2
Authors
2
Name
Order
Citations
PageRank
Tamás Fleiner124127.45
Tibor Jordán271378.34