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» Packing Cycles in Graphs
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STOC
1996
ACM
115views Algorithms» more  STOC 1996»
15 years 4 months ago
Minimum Cuts in Near-Linear Time
We significantly improve known time bounds for solving the minimum cut problem on undirected graphs. We use a "semiduality" between minimum cuts and maximum spanning tree...
David R. Karger
DAM
2007
107views more  DAM 2007»
15 years 17 days ago
Eliminating graphs by means of parallel knock-out schemes
In 1997 Lampert and Slater introduced parallel knock-out schemes, an iterative process on graphs that goes through several rounds. In each round of this process, every vertex elim...
Hajo Broersma, Fedor V. Fomin, Rastislav Kralovic,...
101
Voted
ICALP
2009
Springer
16 years 27 days ago
Elimination Graphs
A graph is chordal if it does not contain any induced cycle of size greater than three. An alternative characterization of chordal graphs is via a perfect elimination ordering, whi...
Yuli Ye, Allan Borodin
GC
2008
Springer
15 years 20 days ago
A Bijection for Eulerian-equivalence Classes of Totally Cyclic Orientations
Gioan showed that the number of cycle reversing classes of totally cyclic orientations of a given graph can be calculated as an evaluation of the corresponding Tutte polynomial. We...
Beifang Chen, Arthur L. B. Yang, Terence Y. J. Zha...
FSTTCS
2010
Springer
14 years 10 months ago
The effect of girth on the kernelization complexity of Connected Dominating Set
In the Connected Dominating Set problem we are given as input a graph G and a positive integer k, and are asked if there is a set S of at most k vertices of G such that S is a dom...
Neeldhara Misra, Geevarghese Philip, Venkatesh Ram...