Modular and fractional L-intersecting families of vector spaces
Combinatorics
2020-06-05 v2 Discrete Mathematics
Abstract
In the first part of this paper, we prove a theorem which is the -analogue of a generalized modular Ray-Chaudhuri-Wilson Theorem shown in [Alon, Babai, Suzuki, J. Combin. Theory Series A, 1991]. It is also a generalization of the main theorem in [Frankl and Graham, European J. Combin. 1985] under certain circumstances. In the second part of this paper, we prove -analogues of results on a recent notion called \emph{fractional -intersecting family} for families of subspaces of a given vector space. We use the above theorem to obtain a general upper bound to the cardinality of such families. We give an improvement to this general upper bound in certain special cases.
Keywords
Cite
@article{arxiv.2004.04937,
title = {Modular and fractional L-intersecting families of vector spaces},
author = {Rogers Mathew and Tapas Kumar Mishra and Ritabrata Ray and Shashank Srivastava},
journal= {arXiv preprint arXiv:2004.04937},
year = {2020}
}
Comments
19 pages