Geodesic
On graphs and Lie rings
Matematičeskie zametki, Tome 77 (2005) no. 3, pp. 449-459

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From a finite oriented graph $\Gamma$, finite-dimensional graded nilpotent Lie rings $\mathfrak l(\Gamma)$ and $\mathfrak g(\Gamma)$ are naturally constructed; these rings are related to subtrees and connected subgraphs of $\Gamma$, respectively. Diverse versions of these constructions are also suggested. Moreover, an embedding of Lie rings of the form $\mathfrak l(\Gamma)$ in the adjoint Lie rings of finite-dimensional associative rings (also determined by the graph $\Gamma$) is indicated. 
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     author = {Yu. S. Semenov},
     title = {On graphs and {Lie} rings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {449--459},
     publisher = {mathdoc},
     volume = {77},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2005_77_3_a10/}
}
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Yu. S. Semenov. On graphs and Lie rings. Matematičeskie zametki, Tome 77 (2005) no. 3, pp. 449-459. http://geodesic.mathdoc.fr/item/MZM_2005_77_3_a10/