Geodesic
Generalized Hamming Graphs: Some New Results
Discussiones Mathematicae. Graph Theory, Tome 38 (2018) no. 3, pp. 627-633

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A projection of a vertex x of a graph G over a subset S of vertices is a vertex of S at minimal distance from x. The study of projections over quasi-intervals gives rise to a new characterization of quasi-median graphs.
Keywords: generalized median graphs, Hamming graphs, quasi-median graphs, quasi-Hilbertian graphs 
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     author = {Bedrane, Amari and Abdelhafid, Berrachedi},
     title = {Generalized {Hamming} {Graphs:} {Some} {New} {Results}},
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Bedrane, Amari; Abdelhafid, Berrachedi. Generalized Hamming Graphs: Some New Results. Discussiones Mathematicae. Graph Theory, Tome 38 (2018) no. 3, pp. 627-633. http://geodesic.mathdoc.fr/item/DMGT_2018_38_3_a1/