.879-approximation algorithms for MAX CUT and MAX 2SAT
STOC '94 Proceedings of the twenty-sixth annual ACM symposium on Theory of computing
P-Complete Approximation Problems
Journal of the ACM (JACM)
A Min-max Cut Algorithm for Graph Partitioning and Data Clustering
ICDM '01 Proceedings of the 2001 IEEE International Conference on Data Mining
Optimal Inapproximability Results for MAX-CUT and Other 2-Variable CSPs?
SIAM Journal on Computing
Solving Max-Cut to optimality by intersecting semidefinite and polyhedral relaxations
Mathematical Programming: Series A and B
Integrating genome assemblies with MAIA
Bioinformatics
Bioinformatics
Bioinformatics
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In the context of genome assembly, the contig orientation problem is described as the problem of removing sufficient edges from the scaffold graph so that the remaining subgraph assigns a consistent orientation to all sequence nodes in the graph. This problem can also be phrased as a weighted MAX-CUT problem. The performance of MAX-CUT heuristics in this application is untested. We present a greedy heuristic solution to the contig orientation problem and compare its performance to a weighted MAX-CUT semi-definite programming heuristic solution on several graphs. We note that the contig orientation problem can be used to identify inverted repeats and inverted haplotypes, as these represent sequences whose orientation appears ambiguous in the conventional genome assembly framework.