Results 21 to 30 of about 5,491 (151)
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
Godsil, Chris +2 more
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On regular induced subgraphs of generalized polygons
, 2018 The cage problem asks for the smallest number $c(k,g)$ of vertices in a $k$-regular graph of girth $g$ and graphs meeting this bound are known as cages. While cages are known to exist for all integers $k \ge 2$ and $g \ge 3$, the exact value of $c(k, g)$
Bamberg, John +2 more
core +1 more source
On hyperovals of polar spaces [PDF]
, 2010 We derive lower and upper bounds for the size of a hyperoval of a finite polar space of rank 3. We give a computer-free proof for the uniqueness, up to isomorphism, of the hyperoval of size 126 of H(5, 4) and prove that the near hexagon E-3 has up to ...
A. Del Fra +23 more
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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 \(s \geq t\).
Van Maldeghem, H., Bloemen, I.
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Distance-regular Cayley graphs with small valency
, 2019 We consider the problem of which distance-regular graphs with small valency are Cayley graphs. We determine the distance-regular Cayley graphs with valency at most $4$, the Cayley graphs among the distance-regular graphs with known putative intersection ...
Jazaeri, Mojtaba, van Dam, Edwin R.
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Central aspects of skew translation quadrangles, I [PDF]
, 2014 Except for the Hermitian buildings $\mathcal{H}(4,q^2)$, up to a combination of duality, translation duality or Payne integration, every known finite building of type $\mathbb{B}_2$ satisfies a set of general synthetic properties, usually put together in
Thas, Koen
core
Elation generalised quadrangles of order (s,p), where p is prime
, 2007 We show that an elation generalised quadrangle which has p+1 lines on each point, for some prime p, is classical or arises from a flock of a quadratic cone (i.e., is a flock quadrangle).Comment: 14 ...
Aschbacher +11 more
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Flocks, ovoids and generalized quadrangles
Le Matematiche, 2004 In this paper we will discuss some of the connections between flocks of quadratic cones, ovoids of PG(3, q) and generalized quadrangles.
Matthew Brown
doaj
Generalized quadrangles and subconstituent algebra ¹
Cubo, 2010 The point graph of a generalized quadrangle GQ (s, t) is a strongly regular graph G = srg( ?, ?, ?, μ) whose parameters depend on s and t. By a detailed analysis of the adjacency matrix we compute the Terwilliger algebra of this kind of graphs (and ...
Fernando Levstein, Carolina Maldonado
doaj
, 2017 We investigate the structure of the three-qubit magic Veldkamp line (MVL). This mathematical notion has recently shown up as a tool for understanding the structures of the set of Mermin pentagrams, objects that are used to rule out certain classes of ...
Holweck, Frédéric +2 more
core +1 more source