Geodesic
Algebras of paths on complete graphs
Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 48-53

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The algebras of paths on connected graphs are defined. Their properties are described and central elements of division rings for the case when the graph is a complete, indirected loop-free, are also described.
Keywords: quantum algebra, graph, algebra of twisted polynomials. 
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     author = {V. G. Mosin},
     title = {Algebras of paths on complete graphs},
     journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
     pages = {48--53},
     publisher = {mathdoc},
     number = {6},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGU_2010_6_a5/}
}
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V. G. Mosin. Algebras of paths on complete graphs. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2010), pp. 48-53. http://geodesic.mathdoc.fr/item/VSGU_2010_6_a5/