Results 11 to 20 of about 228,875 (264)
Embedding Steiner triple systems in hexagon triple systems
Discrete Mathematics, 2009 A \textit{Steiner triple} system of order \(n\) (or a triple system) is a pair \((S,T)\), where \(T\) is a collection of edge disjoint triangles, otherwise called triples, which partition the edge set \(K_n\) with vertex set \(S\). It is well known that the spectrum for Steiner triple systems is the set of all \(n \equiv 1\) or \(3 \pmod 6\) and that ...
C C Lindner +2 more
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Characterization of affine Steiner triple systems and Hall triple systems
Electronic Notes in Discrete Mathematics, 2007 Abstract It is known that a Steiner triple system is projective if and only if it does not contain the four-triple configuration C 14 . We find three configurations such that a Steiner triple system is affine if and only if it does not contain any of these configurations.
Daniel Kral' +2 more
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Systems of Quotients of Lie Triple Systems [PDF]
Communications in Algebra, 2014 To appear in Commun ...
Yao Ma, Liangyun Chen
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Lie Triple Systems, Restricted Lie Triple Systems, and Algebraic Groups
Journal of Algebra, 2001 A Lie triple system may be defined as the odd part of a \({\mathbb Z}_2\)-graded Lie algebra, with the ternary operation given by \([xyz]=[[x,y],z]\) (inside the Lie algebra). The aim of the paper is to study the Lie triple systems related to the pairs \((G,\theta)\), where \(G\) is a simple and simply connected algebraic group over an algebraically ...
Terrell L Hodge
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Dynamics of Four Triple Systems
The Astronomical Journal, 2023 Orbital motions in four hierarchical stellar systems discovered by speckle interferometry are studied. Their inner orbits are relatively well constrained, while the long outer orbits are less certain.
Andrei Tokovinin
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Pöppe triple systems and integrable equations
Partial Differential Equations in Applied Mathematics, 2023 We construct the combinatorial Pöppe triple system, or ternary algebra, that underlies the non-commutative nonlinear Schrödinger (NLS) and modified Korteweg–de Vries (mKdV) hierarchy.
Anastasia Doikou +3 more
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Triality Groups Associated with Triple Systems and their Homotope Algebras
Annales Mathematicae Silesianae, 2021 We introduce the notion of an (α, β, γ) triple system, which generalizes the familiar generalized Jordan triple system related to a construction of simple Lie algebras. We then discuss its realization by considering some bilinear algebras and vice versa.
Kamiya Noriaki
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Spreading linear triple systems and expander triple systems
European Journal of Combinatorics, 2020 The existence of Steiner triple systems STS(n) of order n containing no nontrivial subsystem is well known for every admissible n. We generalize this result in two ways. First we define the expander property of 3-uniform hypergraphs and show the existence of Steiner triple systems which are almost perfect expanders.
Zoltán L. Blázsik +1 more
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Analysis of the Effect of Different Combinations of Observation Satellites on the Resolving Accuracy of GNSS Observation Data [PDF]
E3S Web of Conferences, 2020 In this paper, 24 C-level control points under different terrain conditions were selected to be the testing points. The binary-satellite system (GPS+GLONASS) and the triple-satellite system with BeiDou Navigation Satellite System (BDS) (BDS+GPS+GLONASS ...
Wang Junze +3 more
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Bicoloring Steiner Triple Systems [PDF]
The Electronic Journal of Combinatorics, 1999 A Steiner triple system has a bicoloring with $m$ color classes if the points are partitioned into $m$ subsets and the three points in every block are contained in exactly two of the color classes. In this paper we give necessary conditions for the existence of a bicoloring with 3 color classes and give a multiplication theorem for Steiner triple ...
Charles J. Colbourn +2 more
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