b-SMBG admits near-linear time for b=3, is combinatorially hard for b≥4, has a conditionally optimal matrix-multiplication algorithm for constant b, and is SETH-hard for b=ω(log|V|).
[ENA+23] Massimo Equi, Tuukka Norri, Jarno Alanko, Bastien Cazaux, Alexandru I
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String Matching in (Block) Graphs: A Full Classification by Walk Length
b-SMBG admits near-linear time for b=3, is combinatorially hard for b≥4, has a conditionally optimal matrix-multiplication algorithm for constant b, and is SETH-hard for b=ω(log|V|).