MaxCut Above Guarantee

I Bliznets, V Epifanov - 48th International Symposium on …, 2023 - drops.dagstuhl.de
… linear kernel for the parameterization above n − 1. In this paper, we continue the study of
Max-Cut-AST. Our … First, we show that Max-Cut-AST on tripartite graphs is essentially as hard as …

Parameterizing above guaranteed values: MaxSat and MaxCut

M Mahajan, V Raman - Journal of Algorithms, 1999 - Elsevier
… , in which range the FPT algorithms described above are infeasible. Consequently, in a …
guaranteed value is the maximum value? In this paper, we show that both MaxSat and MaxCut

Using max cut to enhance rooted trees consistency

S Snir, S Rao - … ACM transactions on computational biology and …, 2006 - ieeexplore.ieee.org
… is guaranteed to satisfy some required properties. In this work, we present a different heuristic
approach that guarantees … In this paper, we extend the above approach and apply a more …

Bilu–Linial stable instances of max cut and minimum multiway cut

K Makarychev, Y Makarychev… - Proceedings of the twenty …, 2014 - SIAM
… any robust algorithm with better guarantees would lead to a … of weak stability and obtain
similar guarantees in this setting. … vectors and then apply the above argument. The formal proof …

Separating max 2-and, max di-cut and max cut

J Brakensiek, N Huang, A Potechin… - 2023 IEEE 64th Annual …, 2023 - ieeexplore.ieee.org
… In the above computation, we used Proposition II.14 and the chain rule. Since (x, y) is a …
Finally, we discuss how we rigorously verify the approximation guarantees of this rounding …

The maximum cut problem

W Ben‐Ameur, AR Mahjoub… - … Optimization: Problems and …, 2014 - Wiley Online Library
… the complexity of the MAX-CUT problem and of certain cases … As mentioned above, the
MAX-CUT problem is in general NP… of solving MAX-CUT that have no guarantees. Among such …

Optimal inapproximability results for MAX-CUT and other 2-variable CSPs?

S Khot, G Kindler, E Mossel, R O'Donnell - SIAM Journal on Computing, 2007 - SIAM
… Note that the structure of Hρ is very reminiscent of our Long Code test, mentioned above. To
… Thus our Unique Games-hardness theorem precisely matches the algorithmic guarantee of …

Max-cut under graph constraints

J Lee, V Nagarajan, X Shen - International Conference on Integer …, 2016 - Springer
… as in the example above. In this paper, we study a large class of graph-constrained max-cut
We note however that for a number of constraints (including the connectivity example above)…

An optimal space lower bound for approximating MAX-CUT

M Kapralov, D Krachun - Proceedings of the 51st Annual ACM SIGACT …, 2019 - dl.acm.org
… We consider the problem of estimating the value of MAX-CUT … of this value as the estimate
for the size of the MAX-CUT. On … guarantee of Lemma 5.2 above for ℓ = 1 leads to a bound of …

MaxCut quantum approximate optimization algorithm performance guarantees for

J Wurtz, P Love - Physical Review A, 2021 - APS
… As a first step, a trivial underestimate of the number of uncut edges is that no edges remain
uncut in the graph, and so the MaxCut value is bounded from above by the number of edges …