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20 results for “Max-Cut”

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cs.DScs.CCcs.DMTheoreticalRecentJun 26, 2026

Maximum Cut Algorithms and Upper Bounds for Planar and Toroidal Graphs

Mark Glass, Meir Feder

The authors map the problem of finding the maximum cut of a planar graph with arbitrary weights to a minimum T-join problem in the absolute dual graph, enabling the use of shortest paths and adapting…

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cs.DSTheoreticalRecentJul 3, 2026

Optimality-Preserving Data Reduction for Maximum k-Cut (Full Version)

Michael Kaibel, Petra Mutzel

This paper introduces structured cut sets, a novel preprocessing technique for Maximum k-Cut, and extends existing techniques from Maximum Cut. The rules are optimality-preserving and yield significan…

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math.COcs.DMTheoreticalRecentJul 8, 2026

A coarse block-cut tree theorem

Júlia Baligács, Václav Blažej, Jadwiga Czyżewska, Michał Pilipczuk +1 more

This paper proves a coarse tree decomposition of graphs with bounded adhesion sets and separators.

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cs.DScs.CCTheoreticalRecentJun 16, 2026

Directed Reachability-Preserving Minimum Edge Cut: Approximation and Planar Hardness

Qi Duan

This paper presents approximation algorithms for the one-way directed Reachability-Preserving Minimum Edge Cut problem in directed graphs.

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cs.GTcs.CCTheoreticalRecentJun 11, 2026

On Cutting Cakes and Crossing Curves

Alexandros Hollender, Gilbert Maystre, Kilian Risse

The paper shows that the envy-free cake-cutting problem with three agents is intractable and establishes the first lower bounds for the Jordan curve problem.

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cs.LGcs.AIcs.CLRecentMay 28, 2026

Reasoning with Sampling: Cutting at Decision Points

Felix Zhou, Anay Mehrotra, Quanquan C. Liu

The paper introduces Entropy-Cut Metropolis-Hastings, an efficient sampling method that uses next-token entropy to identify and resample from critical decision points in a reasoning trace, significant…

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cs.DSTheoreticalRecentJun 26, 2026

Incremental Submodular Maximization: Better Than Greedy

Marcin Bienkowski, Joakim Blikstad, Jarosław Byrka, Martín Costa +2 more

The paper presents an adaptive scaling algorithm with a competitive ratio of 1.373 for incremental submodular maximization under increasing cardinality constraint, improving upon the previous best res…

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cs.DSEmpiricalRecentJun 12, 2026

On a Conjecture for Parameterized st-Orientations

Charalampos Papamanthou

This paper disproves a conjecture about the longest-path lengths of MaxSTN and MinSTN algorithms for producing $st$-orientations of biconnected graphs.

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cs.DScs.CRTheoreticalRecentJul 21, 2026

Private Approximation of Graph Spectra and Cuts via Spectral Amplifiers

Chenglin Fan, Jingcheng Liu, Pan Peng, Hangyu Xu +1 more

This paper presents a polynomial-time differentially private algorithm for releasing a synthetic graph that approximates cut sizes in an input graph with error bound.

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cs.DScs.CCTheoreticalRecentJun 11, 2026

Sketching Intersection Profiles: A Simple Proof and Three Applications

Flavio Chierichetti, Mirko Giacchini, Ravi Kumar, Alessandro Panconesi +2 more

This paper settles the complexity of three sketching problems in graphs and distributions.

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cs.DScs.DMTheoreticalRecentJun 30, 2026

Constant-factor approximation of maximum distance-2 independent set in graphs of bounded merge-width

Maël Dumas

The paper provides constant-factor approximation algorithms for Max Dist-2 Independent Set and Min Dominating Set in graphs of bounded radius-2 merge-width.

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cs.DScs.LGstat.MLRecentJun 3, 2026

A General Framework for Dynamic Consistent Submodular Maximization

Paul Dütting, Federico Fusco, Silvio Lattanzi, Ashkan Norouzi-Fard +2 more

The paper develops a general framework for dynamic consistent submodular maximization, achieving constant-factor approximations with sublinear consistency for both cardinality and rank-$k$ matroid con…

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cs.CGcs.DMTheoreticalRecentJul 1, 2026

On Reconstructing a Convex Polygon from Partial Information

Alexander Baumann, Therese Biedl, Mahmoud Elashmawi, Simon D. Fink +2 more

This paper systematically explores the convex polygon reconstruction problem with specified sets of features, contributing new testing algorithms and hardness results.

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