Theorems of Erdős-Ko-Rado type in geometrical settings
Abstract
The original Erdo{double acute}s-Ko-Rado problem has inspired much research. It started as a study on sets of pairwise intersecting k-subsets in an n-set, then it gave rise to research on sets of pairwise non-trivially intersecting k-dimensional vector spaces in the vector space V (n, q) of dimension n over the finite field of order q, and then research on sets of pairwise non-trivially intersecting generators and planes in finite classical polar spaces. We summarize the main results on the Erdo{double acute}s-Ko-Rado problem in these three settings, mention the Erdo{double acute}s-Ko-Rado problem in other related settings, and mention open problems for future research. © 2013 Science China Press and Springer-Verlag Berlin Heidelberg.
Publication Title
Science China Mathematics
Recommended Citation
de Boeck, M., & Storme, L. (2013). Theorems of Erdős-Ko-Rado type in geometrical settings. Science China Mathematics, 56 (7), 1333-1348. https://doi.org/10.1007/s11425-013-4676-z
