Geodesic
A modification of the Fourier--Motskin algorithm for constructing a~triangulation and its star coloring
Diskretnyj analiz i issledovanie operacij, Tome 13 (2006) no. 1, pp. 77-94

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The notion of a star development of a simplicial complex is introduced, and an algorithm is offered that simultaneously constructs a triangulation and a star development of the simplicial complex of the faces of the triangulation for a point configuration in general position. 
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     author = {V. N. Shevchenko and D. V. Gruzdev},
     title = {A modification of the {Fourier--Motskin} algorithm for constructing a~triangulation and its star coloring},
     journal = {Diskretnyj analiz i issledovanie operacij},
     pages = {77--94},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DA_2006_13_1_a5/}
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V. N. Shevchenko; D. V. Gruzdev. A modification of the Fourier--Motskin algorithm for constructing a~triangulation and its star coloring. Diskretnyj analiz i issledovanie operacij, Tome 13 (2006) no. 1, pp. 77-94. http://geodesic.mathdoc.fr/item/DA_2006_13_1_a5/