Mayer path homology equips path complexes with an N-differential to yield homology groups that distinguish directed graph motifs more finely than standard path homology.
Homological constructions on n-complexes.Journal of Pure and Applied Algebra, 176(2):213–222, 2002
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Mayer Path Homology
Mayer path homology equips path complexes with an N-differential to yield homology groups that distinguish directed graph motifs more finely than standard path homology.