Geodesic
Generalized graph cordiality
Discussiones Mathematicae. Graph Theory, Tome 32 (2012) no. 3, pp. 557-567.

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Hovey introduced A-cordial labelings in [4] as a simultaneous generalization of cordial and harmonious labelings. If A is an abelian group, then a labeling f: V(G) → A of the vertices of some graph G induces an edge-labeling on G; the edge uv receives the label f(u) + f(v). A graph G is A-cordial if there is a vertex-labeling such that (1) the vertex label classes differ in size by at most one and (2) the induced edge label classes differ in size by at most one.
Keywords: graph labeling, cordial graph, A-cordial, quasigroup 
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Pechenik, Oliver; Wise, Jennifer. Generalized graph cordiality. Discussiones Mathematicae. Graph Theory, Tome 32 (2012) no. 3, pp. 557-567. http://geodesic.mathdoc.fr/item/DMGT_2012_32_3_a13/

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[4] M. Hovey, A-cordial graphs, Discrete Math. 93 (1991) 183-194, doi: 10.1016/0012-365X(91)90254-Y.

[5] G. McAlexander, Undergraduate thesis, (Mary Baldwin College, c.2007).

[6] A. Riskin, ℤ²₂-cordiality of complete and complete bipartite graphs, (http://arxiv.org/abs/0709.0290v1), September 2007.