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» Generating Minimal k-Vertex Connected Spanning Subgraphs
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COCOON
2007
Springer
13 years 11 months ago
Generating Minimal k-Vertex Connected Spanning Subgraphs
Abstract. We show that minimal k-vertex connected spanning subgraphs of a given graph can be generated in incremental polynomial time for any fixed k.
Endre Boros, Konrad Borys, Khaled M. Elbassioni, V...
DM
2008
96views more  DM 2008»
13 years 5 months ago
Generating 3-vertex connected spanning subgraphs
In this paper we present an algorithm to generate all minimal 3-vertex connected spanning subgraphs of an undirected graph with n vertices and m edges in incremental polynomial tim...
Endre Boros, Konrad Borys, Vladimir Gurvich, G&aac...
SODA
1992
ACM
123views Algorithms» more  SODA 1992»
13 years 6 months ago
Computing Minimal Spanning Subgraphs in Linear Time
Let P be a property of undirected graphs. We consider the following problem: given a graph G that has property P, nd a minimal spanning subgraph of G with property P. We describe ...
Xiaofeng Han, Pierre Kelsen, Vijaya Ramachandran, ...
IPCO
2004
114views Optimization» more  IPCO 2004»
13 years 6 months ago
Enumerating Minimal Dicuts and Strongly Connected Subgraphs and Related Geometric Problems
We consider the problems of enumerating all minimal strongly connected subgraphs and all minimal dicuts of a given directed graph G = (V, E). We show that the first of these proble...
Endre Boros, Khaled M. Elbassioni, Vladimir Gurvic...
ESA
2006
Springer
112views Algorithms» more  ESA 2006»
13 years 9 months ago
Enumerating Spanning and Connected Subsets in Graphs and Matroids
We show that enumerating all minimal spanning and connected subsets of a given matroid is quasi-polynomially equivalent to the well-known hypergraph transversal problem, and thus ...
Leonid Khachiyan, Endre Boros, Konrad Borys, Khale...