Achieves (2k/3)-approximation for girth in weighted graphs in Õ(m + n^{1+2/k}) time for every k≥2, improving prior partial results, plus new fine-grained lower bounds for unweighted girth approximation.
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cs.DS 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
Improved (O(pw), Δ)-LDD for pathwidth-pw digraphs and O(tw log n) integrality gap for directed sparsest-cut LP on treewidth-tw graphs via refined quasipartition analysis.
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Tighter bounds for weighted and unweighted shortest cycle approximation
Achieves (2k/3)-approximation for girth in weighted graphs in Õ(m + n^{1+2/k}) time for every k≥2, improving prior partial results, plus new fine-grained lower bounds for unweighted girth approximation.
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Directed Low Diameter Decomposition for Structured Digraphs
Improved (O(pw), Δ)-LDD for pathwidth-pw digraphs and O(tw log n) integrality gap for directed sparsest-cut LP on treewidth-tw graphs via refined quasipartition analysis.