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)
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Fiedler, Miroslav (1998)
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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.