The edge-minimal polyhedral maps of Euler characteristic .
Brehm, Ulrich, Datta, Basudeb, Nilakantan, Nandini (2002)
Beiträge zur Algebra und Geometrie
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Brehm, Ulrich, Datta, Basudeb, Nilakantan, Nandini (2002)
Beiträge zur Algebra und Geometrie
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Alanko, Samu, Crevals, Simon, Isopoussu, Anton, Östergård, Patric, Pettersson, Ville (2011)
The Electronic Journal of Combinatorics [electronic only]
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Florek, W., Lulek, T. (1991)
Séminaire Lotharingien de Combinatoire [electronic only]
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María Jesús de la Puente (2013)
Kybernetika
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In this paper we give a short, elementary proof of a known result in tropical mathematics, by which the convexity of the column span of a zero-diagonal real matrix is characterized by being a Kleene star. We give applications to alcoved polytopes, using normal idempotent matrices (which form a subclass of Kleene stars). For a normal matrix we define a norm and show that this is the radius of a hyperplane section of its tropical span.
Radić, Mirko (2005)
Beiträge zur Algebra und Geometrie
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Zhurtov, A.Kh. (2001)
Sibirskij Matematicheskij Zhurnal
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Maxim Sokolov (1998)
Banach Center Publications
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Michał Trybulec (2008)
Formalized Mathematics
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This is the second article on regular expression quantifiers. [4] introduced the quantifiers m to n occurrences and optional occurrence. In the sequel, the quantifiers: at least m occurrences and positive closure (at least 1 occurrence) are introduced. Notation and terminology were taken from [8], several properties of regular expressions from [7].MML identifier: FLANG 3, version: 7.8.05 4.89.993
Kuniba, Atsuo, Takagi, Taichiro (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Lyul'ko, N. A. (2002)
Sibirskij Matematicheskij Zhurnal
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