Two signed associahedra.
Burgiel, H., Reiner, V. (1998)
The New York Journal of Mathematics [electronic only]
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Burgiel, H., Reiner, V. (1998)
The New York Journal of Mathematics [electronic only]
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Milica Stojanović (2005)
Matematički Vesnik
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Oleg V. Borodin (1992)
Mathematica Slovaca
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Lawrencenko, Serge, Negami, Seiya, Sabitov, Idjad Kh. (2002)
Beiträge zur Algebra und Geometrie
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Wilfrid Wilson (1937)
Compositio Mathematica
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Datta, Basudeb, Nilakantan, Nandini (2008)
International Journal of Mathematics and Mathematical Sciences
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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...
Bacher, R., Krattenthaler, C. (2011)
The Electronic Journal of Combinatorics [electronic only]
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Idzik, Adam, Zapart, Anna (2010)
Fixed Point Theory and Applications [electronic only]
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Marietti, Mario, Testa, Damiano (2008)
The Electronic Journal of Combinatorics [electronic only]
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