An Erdos-Ko-Rado theorem for finite classical polar spaces
(2016) JOURNAL OF ALGEBRAIC COMBINATORICS. 43(2). p.375-397- abstract
- Consider a finite classical polar space of rank d >= 2 and an integer n with 0 < n < d. In this paper, it is proved that the set consisting of all subspaces of rank n that contain a given point is a largest Erdos-Ko-Rado set of subspaces of rank n of the polar space. We also show that there are no other Erdos-Ko-Rado sets of subspaces of rank n of the same size.
Please use this url to cite or link to this publication:
http://hdl.handle.net/1854/LU-8033721
- author
- Klaus Metsch
- organization
- year
- 2016
- type
- journalArticle (original)
- publication status
- published
- subject
- keyword
- Erdos-Ko-Rado set, Polar space, Weighted Hoffman's bound, INTERSECTION THEOREMS, EIGENVALUE BOUNDS, SETS, SYSTEMS
- journal title
- JOURNAL OF ALGEBRAIC COMBINATORICS
- J. Algebr. Comb.
- volume
- 43
- issue
- 2
- pages
- 375 - 397
- Web of Science type
- Article
- Web of Science id
- 000373624300004
- JCR category
- MATHEMATICS
- JCR impact factor
- 0.779 (2016)
- JCR rank
- 112/310 (2016)
- JCR quartile
- 2 (2016)
- ISSN
- 0925-9899
- DOI
- 10.1007/s10801-015-0637-7
- language
- English
- UGent publication?
- yes
- classification
- A1
- copyright statement
- I have transferred the copyright for this publication to the publisher
- id
- 8033721
- handle
- http://hdl.handle.net/1854/LU-8033721
- date created
- 2016-07-11 12:41:30
- date last changed
- 2016-12-19 15:42:15
@article{8033721, abstract = {Consider a finite classical polar space of rank d {\textrangle}= 2 and an integer n with 0 {\textlangle} n {\textlangle} d. In this paper, it is proved that the set consisting of all subspaces of rank n that contain a given point is a largest Erdos-Ko-Rado set of subspaces of rank n of the polar space. We also show that there are no other Erdos-Ko-Rado sets of subspaces of rank n of the same size.}, author = {Metsch, Klaus}, issn = {0925-9899}, journal = {JOURNAL OF ALGEBRAIC COMBINATORICS}, keyword = {Erdos-Ko-Rado set,Polar space,Weighted Hoffman's bound,INTERSECTION THEOREMS,EIGENVALUE BOUNDS,SETS,SYSTEMS}, language = {eng}, number = {2}, pages = {375--397}, title = {An Erdos-Ko-Rado theorem for finite classical polar spaces}, url = {http://dx.doi.org/10.1007/s10801-015-0637-7}, volume = {43}, year = {2016}, }
- Chicago
- Metsch, Klaus. 2016. “An Erdos-Ko-Rado Theorem for Finite Classical Polar Spaces.” Journal of Algebraic Combinatorics 43 (2): 375–397.
- APA
- Metsch, K. (2016). An Erdos-Ko-Rado theorem for finite classical polar spaces. JOURNAL OF ALGEBRAIC COMBINATORICS, 43(2), 375–397.
- Vancouver
- 1.Metsch K. An Erdos-Ko-Rado theorem for finite classical polar spaces. JOURNAL OF ALGEBRAIC COMBINATORICS. 2016;43(2):375–97.
- MLA
- Metsch, Klaus. “An Erdos-Ko-Rado Theorem for Finite Classical Polar Spaces.” JOURNAL OF ALGEBRAIC COMBINATORICS 43.2 (2016): 375–397. Print.