k-REWB matching cannot be solved in O(n to the 2k minus epsilon) time under SETH, is W[2]-hard parameterized by expression length, and 2-use 2-REWBs require superlinear time unless triangle detection does; 1-use REWBs admit an O(n log squared n) algorithm.
Higher Lower Bounds from the 3SUM Conjecture , booktitle =
2 Pith papers cite this work. Polarity classification is still indexing.
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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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On the Complexity of the Matching Problem of Regular Expressions with Backreferences
k-REWB matching cannot be solved in O(n to the 2k minus epsilon) time under SETH, is W[2]-hard parameterized by expression length, and 2-use 2-REWBs require superlinear time unless triangle detection does; 1-use REWBs admit an O(n log squared n) algorithm.
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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.