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 …

[图书][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 …

Eigenvalues of Cayley graphs

X Liu, S Zhou - arXiv preprint arXiv:1809.09829, 2018 - arxiv.org
arXiv:1809.09829v3 [math.CO] 22 Apr 2022 Eigenvalues of Cayley graphs Page 1 arXiv:1809.09829v3
[math.CO] 22 Apr 2022 Eigenvalues of Cayley graphs Xiaogang Liu∗ School of Mathematics …

Regular ovoids and Cameron-Liebler sets of generators in polar spaces

M De Boeck, J D'haeseleer, M Rodgers - arXiv preprint arXiv:2310.14739, 2023 - arxiv.org
Cameron-Liebler sets of generators in polar spaces were introduced a few years ago as
natural generalisations of the Cameron-Liebler sets of subspaces in projective spaces. In …

Packings of partial difference sets

J Jedwab, S Li - arXiv preprint arXiv:2012.00979, 2020 - arxiv.org
A packing of partial difference sets is a collection of disjoint partial difference sets in a finite
group $ G $. This configuration has received considerable attention in design theory, finite …

[HTML][HTML] Hemisystems of the Hermitian surface

G Korchmáros, GP Nagy, P Speziali - Journal of Combinatorial Theory …, 2019 - Elsevier
We present a new method for the study of hemisystems of the Hermitian surface U 3 of PG
(3, q 2). The basic idea is to represent generator-sets of U 3 by means of a maximal curve …

Some non-existence results on m-ovoids in classical polar spaces

J De Beule, J Mannaert, V Smaldore - European Journal of Combinatorics, 2024 - Elsevier
In this paper we develop non-existence results for m-ovoids in the classical polar spaces
Q−(2 r+ 1, q), W (2 r− 1, q) and H (2 r, q 2) for r> 2. In Bamberg et al.(2009) a lower bound on …

Cyclotomy, difference sets, sequences with low correlation, strongly regular graphs, and related geometric substructures

K Momihara, Q Wang, Q Xiang - Proceedings of the workshop “ …, 2018 - degruyter.com
In this paper, we survey constructions of and nonexistence results on combinatorial/
geometric structures which arise from unions of cyclotomic classes of finite fields. In …

New hemisystems of the Hermitian surface

V Pallozzi Lavorante, V Smaldore - Designs, Codes and Cryptography, 2023 - Springer
Constructing hemisystems of the Hermitian surface is a well known, apparently difficult,
problem in Finite geometry. So far, a few infinite families and some sporadic examples have …

On m-ovoids of symplectic polar spaces

T Feng, Y Wang, Q Xiang - Journal of Combinatorial Theory, Series A, 2020 - Elsevier
On m-ovoids of symplectic polar spaces - ScienceDirect Skip to main contentSkip to article
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