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» On Bounds for the k-Partitioning of Graphs
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ESA
2006
Springer
112views Algorithms» more  ESA 2006»
15 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...
ALGORITHMICA
2002
71views more  ALGORITHMICA 2002»
15 years 6 months ago
Routing Flow Through a Strongly Connected Graph
It is shown that, for every strongly connected network in which every edge has capacity at least , linear time suffices to send flow from source vertices, each with a given supply,...
Thomas Erlebach, Torben Hagerup
COMBINATORICS
2000
81views more  COMBINATORICS 2000»
15 years 6 months ago
Interchangeability of Relevant Cycles in Graphs
The set R of relevant cycles of a graph G is the union of its minimum cycle bases. We introduce a partition of R such that each cycle in a class W can be expressed as a sum of oth...
Petra M. Gleiss, Josef Leydold, Peter F. Stadler
FCT
2005
Springer
15 years 12 months ago
On the Black-Box Complexity of Sperner's Lemma
We present several results on the complexity of various forms of Sperner’s Lemma in the black-box model of computing. We give a deterministic algorithm for Sperner problems over ...
Katalin Friedl, Gábor Ivanyos, Miklos Santh...
FOCS
1991
IEEE
15 years 10 months ago
On the Exponent of the All Pairs Shortest Path Problem
The upper bound on the exponent, ω, of matrix multiplication over a ring that was three in 1968 has decreased several times and since 1986 it has been 2.376. On the other hand, t...
Noga Alon, Zvi Galil, Oded Margalit