Vertex-facet incidences of unbounded polyhedra.
Joswig, Michael, Kaibel, Volker, Pfetsch, Marc E., Ziegler, Günter M. (2001)
Advances in Geometry
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Joswig, Michael, Kaibel, Volker, Pfetsch, Marc E., Ziegler, Günter M. (2001)
Advances in Geometry
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Milica Stojanović (2005)
Matematički Vesnik
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Lawrencenko, Serge, Negami, Seiya, Sabitov, Idjad Kh. (2002)
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Adam Idzik, Konstanty Junosza-Szaniawski (2006)
Discussiones Mathematicae Graph Theory
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We formulate general boundary conditions for a labelling of vertices of a triangulation of a polyhedron by vectors to assure the existence of a balanced simplex. The condition is not for each vertex separately, but for a set of vertices of each boundary simplex. This allows us to formulate a theorem, which is more general than the Sperner lemma and theorems of Shapley; Idzik and Junosza-Szaniawski; van der Laan, Talman and Yang. A generalization of the Poincaré-Miranda theorem is also...
Datta, Basudeb, Nilakantan, Nandini (2008)
International Journal of Mathematics and Mathematical Sciences
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Fiedler, Miroslav (1998)
ELA. The Electronic Journal of Linear Algebra [electronic only]
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Václav Medek (1983)
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Given rectangles in a plane whose all sides belong to two perpendicular directions, an algorithm for the construction of the boundary of the union of those rectangles is shown in teh paper.
Mirko Horňák (1978)
Časopis pro pěstování matematiky
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