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.
Goldberg and Renato Fonseca F
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
years
2026 2verdicts
UNVERDICTED 2representative citing papers
Constructs infinite 3⁺-parameterized-square-free ternary words and 3⁺-order-preserving-square-free binary words via morphic substitutions, plus reports longest finite ℓ⁺-square-free words under several equivalences.
citing papers explorer
-
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.
-
Relaxation of Square-Freeness
Constructs infinite 3⁺-parameterized-square-free ternary words and 3⁺-order-preserving-square-free binary words via morphic substitutions, plus reports longest finite ℓ⁺-square-free words under several equivalences.