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64
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JDA
2008
88views more  JDA 2008»
14 years 10 months ago
Combinatorial 5/6-approximation of Max Cut in graphs of maximum degree 3
The best approximation algorithm for Max Cut in graphs of maximum degree 3 uses semidefinite programming, has approximation ratio 0.9326, and its running time is (n3.5 log n) ; bu...
Cristina Bazgan, Zsolt Tuza
ICTCS
2005
Springer
15 years 3 months ago
Improved Exact Exponential Algorithms for Vertex Bipartization and Other Problems
Abstract. We study efficient exact algorithms for several problems including Vertex Bipartization, Feedback Vertex Set, 3-Hitting Set, Max Cut in graphs with maximum degree at most...
Venkatesh Raman, Saket Saurabh, Somnath Sikdar
FOCS
2007
IEEE
15 years 4 months ago
Maximizing Non-Monotone Submodular Functions
Submodular maximization generalizes many important problems including Max Cut in directed/undirected graphs and hypergraphs, certain constraint satisfaction problems and maximum f...
Uriel Feige, Vahab S. Mirrokni, Jan Vondrák
74
Voted
JGT
2007
87views more  JGT 2007»
14 years 10 months ago
A new upper bound on the cyclic chromatic number
A cyclic colouring of a plane graph is a vertex colouring such that vertices incident with the same face have distinct colours. The minimum number of colours in a cyclic colouring...
Oleg V. Borodin, Hajo Broersma, Alexei N. Glebov, ...
108
Voted
STOC
2009
ACM
163views Algorithms» more  STOC 2009»
15 years 10 months ago
Non-monotone submodular maximization under matroid and knapsack constraints
Submodular function maximization is a central problem in combinatorial optimization, generalizing many important problems including Max Cut in directed/undirected graphs and in hy...
Jon Lee, Vahab S. Mirrokni, Viswanath Nagarajan, M...