descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Jan 2020Embargo end date: 01 Jan 2019 English Publisher:Elsevier BVJournal:Discrete Mathematics, volume 343, page 111,642 (issn: 0012-365X,

Authors: M. De Boeck; Jozefien D'haeseleer;

doi: 10.1016/j.disc.2019.111642 , 10.48550/arxiv.1902.01252

arXiv: http://arxiv.org/abs/1902.01252

Equivalent definitions for (degree one) Cameron–Liebler classes of generators in finite classical polar spaces

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Abstract

In this article, we study degree one Cameron-Liebler sets of generators in all finite classical polar spaces, which is a particular type of a Cameron-Liebler set of generators in this polar space, [9]. These degree one Cameron-Liebler sets are defined similar to the Boolean degree one functions, [15]. We summarize the equivalent definitions for these sets and give a classification result for the degree one Cameron-Liebler sets in the polar spaces W(5,q) and Q(6,q).

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Ghent University
Belgium

Keywords

FOS: Mathematics, Mathematics - Combinatorics, Combinatorics (math.CO)

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