Results 11 to 20 of about 5,491 (151)
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.
Cameron, P.J., Fisher, P.H.
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Dense near octagons with four points on each line, III [PDF]
, 2011 This is the third paper dealing with the classification of the dense near octagons of order (3, t). Using the partial classification of the valuations of the possible hexes obtained in [12], we are able to show that almost all such near octagons admit a ...
De Bruyn, Bart
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Central aspects of skew translation quadrangles, 1 [PDF]
, 2017 Modulo a combination of duality, translation duality or Payne integration, every known finite generalized quadrangle except for the Hermitian quadrangles H(4, q2), is an elation generalized quadrangle for which the elation point is a center of symmetry ...
Thas, Koen
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An inequality for generalized quadrangles [PDF]
Proceedings of the American Mathematical Society, 1978 Let S \mathcal {S} be a generalized quadrangle of order (s, t). Let X and Y be disjoint sets of pairwise noncollinear points of S \mathcal {S} such that each point of X is collinear with each point of Y. If m = | X |
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On collineations and dualities of finite generalized polygons [PDF]
, 2009 In this paper we generalize a result of Benson to all finite generalized polygons. In particular, given a collineation theta of a finite generalized polygon S, we obtain a relation between the parameters of S and, for various natural numbers i, the ...
Temmermans, Beukje +2 more
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Self-Dual and LCD Codes from Kneser Graphs K(n, 2) and Generalized Quadrangles
MathematicsIn this paper, we study self-dual and LCD codes constructed from Kneser graphs K(n, 2) and collinearity graphs of generalized quadrangles using the so-called pure and bordered construction. We determine conditions under which these codes are self-dual or
Dean Crnković, Ana Grbac
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Lines in supersingular quartics
, 2021 We show that the number of lines contained in a supersingular quartic surface is 40 or at most 32, if the characteristic of the field equals 2, and it is 112, 58, or at most 52, if the characteristic equals 3.
Degtyarev, Alex
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Notes on elation generalized quadrangles
European Journal of Combinatorics, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Payne, Stanley E., Thas, Koen
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Expoential bounds on the number of causal triangulations [PDF]
, 2014 We prove that the number of combinatorially distinct causal 3-dimensional triangulations homeomorphic to the 3-dimensional sphere is bounded by an exponential function of the number of tetrahedra.
Durhuus, Bergfinnur, Jonsson, Thordur
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