Strongly regular graphs

AE Brouwer, WH Haemers, AE Brouwer, WH Haemers - Spectra of graphs, 2012 - Springer
Strongly Regular Graphs Page 1 Chapter 9 Strongly Regular Graphs 9.1 Strongly regular
graphs A graph (simple, undirected, and loopless) of order v is called strongly regular with …

[BOOK][B] Strongly regular graphs

AE Brouwer, H Van Maldeghem - 2022 - books.google.com
Strongly regular graphs lie at the intersection of statistical design, group theory, finite
geometry, information and coding theory, and extremal combinatorics. This monograph …

Between primitive and 2-transitive: synchronization and its friends

J Araújo, PJ Cameron, B Steinberg - EMS Surveys in Mathematical …, 2017 - ems.press
An automaton (consisting of a finite set of states with given transitions) is said to be
synchronizing if there is a word in the transitions which sends all states of the automaton to a …

Tight sets and m-ovoids of finite polar spaces

J Bamberg, S Kelly, M Law, T Penttila - Journal of Combinatorial Theory …, 2007 - Elsevier
An intriguing set of points of a generalised quadrangle was introduced in [J. Bamberg, M.
Law, T. Penttila, Tight sets and m-ovoids of generalised quadrangles, Combinatorica, in …

[HTML][HTML] The Hall–Paige conjecture, and synchronization for affine and diagonal groups

JN Bray, Q Cai, PJ Cameron, P Spiga, H Zhang - Journal of Algebra, 2020 - Elsevier
Abstract The Hall–Paige conjecture asserts that a finite group has a complete map** if
and only if its Sylow subgroups are not cyclic. The conjecture is now proved, and one aim of …

[BOOK][B] Near polygons

B De Bruyn - 2010 - books.google.com
Near polygons were introduced about 25 years ago and studied intensively in the 1980s. In
recent years the subject has regained interest. This monograph gives an extensive overview …

Incidence geometry from an algebraic graph theory point of view

F Vanhove - 2011 - biblio.ugent.be
The goal of this thesis is to apply techniques from algebraic graph theory to finite incidence
geometry. The incidence geometries under consideration include projective spaces, polar …

[PDF][PDF] Blocking sets in projective spaces

A Blokhuis, P Sziklai, T Szonyi - Current research topics in Galois …, 2011 - Citeseer
In this paper we collect results on the possible sizes of k-blocking sets. Since 5 previous
surveys focused mainly on blocking sets in the plane, we concentrate our 6 attention on …

Nearly all subspaces of a classical polar space arise from its universal embedding

I Cardinali, L Giuzzi, A Pasini - Linear Algebra and its Applications, 2021 - Elsevier
Let Γ be an embeddable non-degenerate polar space of finite rank n≥ 2. Assuming that Γ
admits the universal embedding (which is true for all embeddable polar spaces except grids …

Substructures of finite classical polar spaces

J De Beule, A Klein, K Metsch - Current research topics in Galois …, 2011 - biblio.ugent.be
1 Finite classical polar spaces Page 1 i In: Current research topics in Galois geometry Editor:
L. Storme, pp. 33-58 ISBN 0000000000 c 2010 Nova Science Publishers, Inc. Chapter 2 …