### A note on near hexagons with lines of size 3

(2010) ARS COMBINATORIA. 96. p.263-273- abstract
- We classify all finite near hexagons which satisfy the following properties for a certain t(2) is an element of {1, 2, 4}: (i) every line is incident with precisely three points; (ii) for every point x, there exists a point y at distance 3 from x; (iii) every two points at distance 2 from each other have either 1 or t(2) + 1 common neighbours; (iv) every quad is big. As a corollary, we obtain a classification of all finite near hexagons satisfying (i), (ii) and (iii) with t(2) equal to 4.

Please use this url to cite or link to this publication:
http://hdl.handle.net/1854/LU-1105434

- author
- Bart De Bruyn UGent
- organization
- year
- 2010
- type
- journalArticle (original)
- publication status
- published
- subject
- keyword
- generalized quadrangle, near hexagon, POLYGONS
- journal title
- ARS COMBINATORIA
- ARS Comb.
- volume
- 96
- pages
- 263 - 273
- Web of Science type
- Article
- Web of Science id
- 000279160900022
- JCR category
- MATHEMATICS
- JCR impact factor
- 0.441 (2010)
- JCR rank
- 205/276 (2010)
- JCR quartile
- 3 (2010)
- ISSN
- 0381-7032
- language
- English
- UGent publication?
- yes
- classification
- A1
- copyright statement
*I have transferred the copyright for this publication to the publisher*- id
- 1105434
- handle
- http://hdl.handle.net/1854/LU-1105434
- alternative location
- http://cage.ugent.be/geometry/Files/266/slim3.pdf
- date created
- 2011-01-20 10:06:17
- date last changed
- 2011-02-14 15:20:52

@article{1105434, abstract = {We classify all finite near hexagons which satisfy the following properties for a certain t(2) is an element of \{1, 2, 4\}: (i) every line is incident with precisely three points; (ii) for every point x, there exists a point y at distance 3 from x; (iii) every two points at distance 2 from each other have either 1 or t(2) + 1 common neighbours; (iv) every quad is big. As a corollary, we obtain a classification of all finite near hexagons satisfying (i), (ii) and (iii) with t(2) equal to 4.}, author = {De Bruyn, Bart}, issn = {0381-7032}, journal = {ARS COMBINATORIA}, keyword = {generalized quadrangle,near hexagon,POLYGONS}, language = {eng}, pages = {263--273}, title = {A note on near hexagons with lines of size 3}, url = {http://cage.ugent.be/geometry/Files/266/slim3.pdf}, volume = {96}, year = {2010}, }

- Chicago
- De Bruyn, Bart. 2010. “A Note on Near Hexagons with Lines of Size 3.”
*Ars Combinatoria*96: 263–273. - APA
- De Bruyn, B. (2010). A note on near hexagons with lines of size 3.
*ARS COMBINATORIA*,*96*, 263–273. - Vancouver
- 1.De Bruyn B. A note on near hexagons with lines of size 3. ARS COMBINATORIA. 2010;96:263–73.
- MLA
- De Bruyn, Bart. “A Note on Near Hexagons with Lines of Size 3.”
*ARS COMBINATORIA*96 (2010): 263–273. Print.