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Signed GLMY Homology of Signed Graphs via Double Covers

Bai, Shuliang et al.
arXiv (All) · Papers
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algebraic-topologycombinatorics
We define a signed GLMY chain complex over $\mathbb{R}$ for signed digraphs using sheet-labelled regular paths. The complex is naturally isomorphic to the deck anti-invariant subcomplex of the ordinary GLMY complex on the signed double cover. The double-cover realization yields switching invariance
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