The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces
- Author
- Maarten De Boeck (UGent)
- Organization
- Abstract
- Erdos-Ko-Rado sets of planes in a projective or polar space are non-extendable sets of planes such that every two have a non-empty intersection. In this article we classify all ErdAs-Ko-Rado sets of planes that generate at least a 6-dimensional space. For general dimension (projective space) or rank (polar space) we give a classification of the ten largest types of ErdAs-Ko-Rado sets of planes. For some small cases we find a better, sometimes complete, classification.
- Keywords
- Erdos-Ko-Rado sets, Classical polar spaces, Projective spaces, INTERSECTION THEOREMS, SYSTEMS, GRAPHS, VECTOR-SPACES
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Citation
Please use this url to cite or link to this publication: http://hdl.handle.net/1854/LU-4418273
- MLA
- De Boeck, Maarten. “The Largest Erdős-Ko-Rado Sets of Planes in Finite Projective and Finite Classical Polar Spaces.” DESIGNS CODES AND CRYPTOGRAPHY, vol. 72, no. 1, 2014, pp. 77–117, doi:10.1007/s10623-013-9812-9.
- APA
- De Boeck, M. (2014). The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces. DESIGNS CODES AND CRYPTOGRAPHY, 72(1), 77–117. https://doi.org/10.1007/s10623-013-9812-9
- Chicago author-date
- De Boeck, Maarten. 2014. “The Largest Erdős-Ko-Rado Sets of Planes in Finite Projective and Finite Classical Polar Spaces.” DESIGNS CODES AND CRYPTOGRAPHY 72 (1): 77–117. https://doi.org/10.1007/s10623-013-9812-9.
- Chicago author-date (all authors)
- De Boeck, Maarten. 2014. “The Largest Erdős-Ko-Rado Sets of Planes in Finite Projective and Finite Classical Polar Spaces.” DESIGNS CODES AND CRYPTOGRAPHY 72 (1): 77–117. doi:10.1007/s10623-013-9812-9.
- Vancouver
- 1.De Boeck M. The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces. DESIGNS CODES AND CRYPTOGRAPHY. 2014;72(1):77–117.
- IEEE
- [1]M. De Boeck, “The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces,” DESIGNS CODES AND CRYPTOGRAPHY, vol. 72, no. 1, pp. 77–117, 2014.
@article{4418273, abstract = {{Erdos-Ko-Rado sets of planes in a projective or polar space are non-extendable sets of planes such that every two have a non-empty intersection. In this article we classify all ErdAs-Ko-Rado sets of planes that generate at least a 6-dimensional space. For general dimension (projective space) or rank (polar space) we give a classification of the ten largest types of ErdAs-Ko-Rado sets of planes. For some small cases we find a better, sometimes complete, classification.}}, author = {{De Boeck, Maarten}}, issn = {{0925-1022}}, journal = {{DESIGNS CODES AND CRYPTOGRAPHY}}, keywords = {{Erdos-Ko-Rado sets,Classical polar spaces,Projective spaces,INTERSECTION THEOREMS,SYSTEMS,GRAPHS,VECTOR-SPACES}}, language = {{eng}}, number = {{1}}, pages = {{77--117}}, title = {{The largest Erdős-Ko-Rado sets of planes in finite projective and finite classical polar spaces}}, url = {{http://doi.org/10.1007/s10623-013-9812-9}}, volume = {{72}}, year = {{2014}}, }
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