Results 11 to 20 of about 728 (237)
Generalized Hexagons as Amalgamations of Generalized Quadrangles
European Journal of Combinatorics, 1993 The paper investigates generalized hexagons with regular points and, in particular, generalized hexagons with an incident regular point-line pair. The first main result states that if \(p\) is a regular point of a finite generalized quadrangle of order \((s,t)\), then \(s \geq t\).
Hendrik Van Maldeghem, I. Bloemen
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Characterizations of generalized quadrangles by generalized homologies
Journal of Combinatorial Theory, Series A, 1985 Let \(S=(P,B,I)\) be a finite generalized quadrangle of order (s,t) and \({\mathcal H}(x,y)\) the group of all collineations of S fixing the noncollinear points x and y linewise. S is called (x,y)-transitive if \({\mathcal H}(x,y)\) is transitive on each set \(^{\sim}-\{x,z\}\) and \(^{\sim}-\{y,z\},\) where z is any point collinear with both x and y ...
Thas, J.A
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Generalized quadrangles of order 4. II
Journal of Combinatorial Theory, Series A, 1977 AbstractThere is a unique generalized quadrangle of order 4.
Payne, Stanley E
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Notes on elation generalized quadrangles
European Journal of Combinatorics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stanley E. Payne, Koen Thas
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Topology in generalized quadrangles
Topology and its Applications, 1990 The study of topological generalized quadrangles, in particular 3- dimensional generalized quadrangles, was first taken up by \textit{M. Forst} [Mitt. Math. Semin. Gießen 147, 65-129 (1981; Zbl 0478.51013)]. The authors resume this subject and lay the basis for the study of topological generalized quadrangles in general dimension.
Grundhöfer, Theo, Knarr, Norbert
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Reconstructing a generalized quadrangle from the Penttila–Williford 4-class association scheme [PDF]
, 2022 Penttila and Williford constructed a 4-class association scheme from a generalized quadrangle with a doubly subtended subquadrangle. We show that an association scheme with appropriate parameters and satisfying some assumption about maximal cliques must ...
Monzillo G., Siciliano A.
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Chromaticity-Adaptive Generalized Spatial Modulation for MIMO VLC With Multi-Color LEDs
IEEE Photonics Journal, 2019 In this paper, we propose a chromaticity-adaptive generalized spatial modulation (CA-GSM) method for multiple-input multiple-output (MIMO) visible light communication (VLC) systems with quadrichromatic LEDs (QLEDs).
Ye Xiao, Yi-Jun Zhu
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Quantum Walks on Generalized Quadrangles
The Electronic Journal of Combinatorics, 2017 We study the transition matrix of a quantum walk on strongly regular graphs. It is proposed by Emms, Hancock, Severini and Wilson in 2006, that the spectrum of $S^+(U^3)$, a matrix based on the amplitudes of walks in the quantum walk, distinguishes strongly regular graphs. We probabilistically compute the spectrum of the line intersection graphs of two
Chris D. Godsil +2 more
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Small Extended Generalized Quadrangles
European Journal of Combinatorics, 1990 An extended generalized quadrangle (EGQ) is a connected point-block incidence structure \({\mathcal G}\) with the property that for any point P the points collinear with P (and different from P) and the blocks incident with P form a generalized quadrangle known as the (point) residue at P.
Peter J. Cameron, P. H. Fisher
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A Combinatorial Grassmannian Representation of the Magic Three-Qubit Veldkamp Line
Entropy, 2017 It is demonstrated that the magic three-qubit Veldkamp line occurs naturally within the Veldkamp space of a combinatorial Grassmannian of type G 2 ( 7 ) , V ( G 2 ( 7 ) ) .
Metod Saniga
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