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Vanishing conjecture for higher path homology of circulant digraphs
Higher path-homology vanishing conjecture. The path homology of $\vec{C}_n^S$ vanishes in every degree at least three:
Conjectureopenalgebraic-topology circulant-digraphs path-homologyarXiv posted 2 days ago

Vanishing conjecture for higher path homology of circulant digraphs