[HTML][HTML] Boolean degree 1 functions on some classical association schemes

Y Filmus, F Ihringer - Journal of Combinatorial Theory, Series A, 2019 - Elsevier
We investigate Boolean degree 1 functions for several classical association schemes,
including Johnson graphs, Grassmann graphs, graphs from polar spaces, and bilinear forms …

On two non-existence results for Cameron–Liebler k-sets in

J De Beule, J Mannaert, L Storme - Designs, Codes and Cryptography, 2024 - Springer
This paper focuses on non-existence results for Cameron–Liebler k-sets. A Cameron–
Liebler k-set is a collection of k-spaces in PG (n, q) or AG (n, q) admitting a certain parameter …

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 …

Cameron–Liebler sets of k-spaces in

A Blokhuis, M De Boeck, J D'haeseleer - Designs, Codes and …, 2019 - Springer
Cameron–Liebler sets of k-spaces were introduced recently in Filmus and Ihringer (J
Combin Theory Ser A, 2019). We list several equivalent definitions for these Cameron …

Multi-qubit doilies: Enumeration for all ranks and classification for ranks four and five

A Muller, M Saniga, A Giorgetti, H De Boutray… - Journal of …, 2022 - Elsevier
Abstract For N≥ 2, an N-qubit doily is a doily living in the N-qubit symplectic polar space.
These doilies are related to operator-based proofs of quantum contextuality. Following and …

Cameron-Liebler sets in permutation groups

J D'haeseleer, K Meagher, VRT Pantangi - arXiv preprint arXiv …, 2023 - arxiv.org
Consider a group $ G $ acting on a set $\Omega $, the vector $ v_ {a, b} $ is a vector with
the entries indexed by the elements of $ G $, and the $ g $-entry is 1 if $ g $ maps $ a $ to …

Cameron-Liebler line classes with parameter x=(q+ 1) 23

T Feng, K Momihara, M Rodgers, Q Xiang… - Advances in Mathematics, 2021 - Elsevier
Cameron-Liebler line classes were introduced in [5], and motivated by a question about
orbits of collineation groups of PG (3, q). These line classes have appeared in different …

New and improved bounds on the contextuality degree of multi-qubit configurations

A Muller, M Saniga, A Giorgetti… - … Structures in Computer …, 2024 - cambridge.org
We present algorithms and a C code to reveal quantum contextuality and evaluate the
contextuality degree (a way to quantify contextuality) for a variety of point-line geometries …

Cameron-Liebler sets for maximal totally isotropic flats in affine-classical spaces

J Guo, L Wan - arXiv preprint arXiv:2212.07106, 2022 - arxiv.org
Let $ ACG (2\nu,\mathbb {F} _q) $ be the $2\nu $-dimensional affine-classical space with
parameter $ e $ over a $ q $-element finite field $\mathbb {F} _q $, and ${\cal O} _ {\nu} $ be …

Cameron–Liebler sets in permutation groups

J D'haeseleer, K Meagher… - Algebraic …, 2024 - alco.centre-mersenne.org
Consider a group G acting on a set Ω. A (G, Ω)-Cameron–Liebler set is a subset of G, whose
indicator function is a linear combination of the indicator functions of the cosets of the point …