Every k-edge-connected graph has a polynomially constructible spanning tree that is O(1/k)-thin for all η-near-minimum cuts with η = 1/40.
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3 Pith papers cite this work. Polarity classification is still indexing.
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New bicriteria approximations for bounded-degree TSP variants achieve additive degree violations (+2 for circuits) and match Christofides-Serdyukov cost ratios, answering an open question on additive violations.
A new ordered local search algorithm achieves k/2 + o(k) approximation for monotone submodular maximization over k matroids and (ln 4 k)/3 + o(k) for weighted k-set packing.
citing papers explorer
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Thin Trees for Near Minimum Cuts
Every k-edge-connected graph has a polynomially constructible spanning tree that is O(1/k)-thin for all η-near-minimum cuts with η = 1/40.
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Improved Algorithms for Bounded-Degree (Subset) Traveling Salesman Problems
New bicriteria approximations for bounded-degree TSP variants achieve additive degree violations (+2 for circuits) and match Christofides-Serdyukov cost ratios, answering an open question on additive violations.
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Submodular Maximization over Many Matroids via Ordered Local Search
A new ordered local search algorithm achieves k/2 + o(k) approximation for monotone submodular maximization over k matroids and (ln 4 k)/3 + o(k) for weighted k-set packing.