Geodesic
On relaxation polytope of 3-satisfiability problem
Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 7-11.

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The properties of a polytope associated with the 3-satisfiability problem are investigated. Particularly, we prove that values of its vertice coordinates can be represented by fractions with arbitrarily large denominators. 
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B. V. Uryvaev. On relaxation polytope of 3-satisfiability problem. Modelirovanie i analiz informacionnyh sistem, Tome 14 (2007) no. 2, pp. 7-11. http://geodesic.mathdoc.fr/item/MAIS_2007_14_2_a1/

[1] V. A. Bondarenko, Poliedralnye grafy i slozhnost v kombinatornoi optimizatsii, Yarosl. gos. un-t, Yaroslavl, 1995, 126 pp.

[2] M. M. Deza, M. Loran, Geometriya razrezov i metrik, per. E. Panteleevoi i P. Sergeeva; pod red. V. Grishukhina, MTsNMO, M., 2001, 736 pp.

[3] M. Geri, D. Dzhonson, Vychislitelnye mashiny i trudnoreshaemye zadachi, Mir, M., 1982, 416 pp. | MR

[4] V. A. Emelichev, M. M. Kovalev, M. K. Kravtsov, Mnogogranniki, grafy, optimizatsiya, Nauka, M., 1981, 344 pp. | MR

[5] A. P. Ilichev, V. N. Shevchenko, “O krainikh tochkakh mnogogrannikov mnogoindeksnykh transportnykh zadach”, Kombinatorno-algebraicheskie metody v prikladnoi matematike, Izd-vo GGU, Gorkii, 1981, 66–72 | MR

[6] S. E. Borisov, R. V. Filipov, “O netselochislennykh vershinakh trekhindeksnykh transportnykh mnogogrannikov”, Sovremennye problemy matematiki i informatiki, Sbornik nauchnykh trudov molodykh uchenykh, aspirantov i studentov, 2, Yarosl. gos. un-t, Yaroslavl, 1999, 153–156