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» Generating Minimal k-Vertex Connected Spanning Subgraphs
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COCOON
2007
Springer
14 years 1 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 6 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 8 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 8 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 10 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...