A polynomial algorithm for the max-cut problem on graphs without long odd cycles
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Publication:3315282
DOI10.1007/BF02591727zbMath0532.90074OpenAlexW2049482546WikidataQ89048251 ScholiaQ89048251MaRDI QIDQ3315282
Martin Grötschel, Nemhauser, George I.
Publication date: 1984
Published in: Mathematical Programming (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02591727
combinatorial optimizationNP-completenesspolynomial time algorithmsmax-cut problemfinite, undirected loopless graphs with multiple edgeslongest odd cyclespositive edge weights
Programming involving graphs or networks (90C35) Analysis of algorithms and problem complexity (68Q25) Extremal problems in graph theory (05C35) Integer programming (90C10)
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Cites Work
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- Weakly bipartite graphs and the max-cut problem
- A polynomial algorithm for maximum weighted vertex packings on graphs without long odd cycles
- Finding a Maximum Cut of a Planar Graph in Polynomial Time
- Node-and edge-deletion NP-complete problems
- On chromatic number of graphs and set-systems
- Depth-First Search and Linear Graph Algorithms