Turner, Paul Wagner, Emmanuel 2012 J. Przytycki has established a connection between the Hochschild homology of an algebra A and the chromatic graph homology of a polygon graph with coefficients in A. In general the chromatic graph homology is not defined in the case where the coefficient ring is a non-commutative algebra. In this paper we define a new homology theory for directed graphs which takes coefficients in an arbitrary A−A bimodule, for A possibly non-commutative, which on polygons agrees with Hochschild homology through a range of dimensions. application/pdf https://sonar.ch/global/documents/302895 https://sonar.ch/documents/302895/files/TurnerWagnerRev.pdf eng info:eu-repo/semantics/altIdentifier/doi/10.1142/S0219498811005555 info:eu-repo/semantics/openAccess License undefined J. Algebra and Its Applications. - 2012, vol. 11, no. 2, p. 1250031(13 pages) info:eu-repo/classification/udc/51 The homology of digraphs as a generalisation of Hochschild homology http://purl.org/coar/resource_type/c_6501