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» A Faster Algorithm for Minimum Cycle Basis of Graphs
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JGAA
2006
127views more  JGAA 2006»
13 years 7 months ago
A New Algorithm for Finding Minimal Cycle-Breaking Sets of Turns in a Graph
We consider the problem of constructing a minimal cycle-breaking set of turns for a given undirected graph. This problem is important for deadlock-free wormhole routing in compute...
Lev B. Levitin, Mark G. Karpovsky, Mehmet Mustafa,...
STOC
2010
ACM
274views Algorithms» more  STOC 2010»
14 years 5 months ago
Odd Cycle Packing
We study the ratio between the minimum size of an odd cycle vertex transversal and the maximum size of a collection of vertex-disjoint odd cycles in a planar graph. We show that th...
Ken-ichi Kawarabayashi and Bruce Reed
AAIM
2008
Springer
120views Algorithms» more  AAIM 2008»
14 years 2 months ago
Minimum Cost Homomorphism Dichotomy for Oriented Cycles
For digraphs D and H, a mapping f : V (D)→V (H) is a homomorphism of D to H if uv ∈ A(D) implies f(u)f(v) ∈ A(H). If, moreover, each vertex u ∈ V (D) is associated with co...
Gregory Gutin, Arash Rafiey, Anders Yeo
SODA
2000
ACM
120views Algorithms» more  SODA 2000»
13 years 9 months ago
Minimum ratio canceling is oracle polynomial for linear programming, but not strongly polynomial, even for networks
This paper shows that the minimum ratio canceling algorithm of Wallacher (1989) (and a faster relaxed version) can be generalized to an algorithm for general linear programs with ...
S. Thomas McCormick, Akiyoshi Shioura
CORR
2010
Springer
98views Education» more  CORR 2010»
13 years 8 months ago
Electrical Flows, Laplacian Systems, and Faster Approximation of Maximum Flow in Undirected Graphs
We introduce a new approach to computing an approximately maximum s-t flow in a capacitated, undirected graph. This flow is computed by solving a sequence of electrical flow probl...
Paul Christiano, Jonathan A. Kelner, Aleksander Ma...