Ghent University Academic Bibliography

Advanced

Dense near octagons with four points on each line, III

Bart De Bruyn UGent (2011) ANNALS OF COMBINATORICS. 15(1). p.19-35
abstract
This is the third paper dealing with the classification of the dense near octagons of order (3, t). Using the partial classification of the valuations of the possible hexes obtained in [12], we are able to show that almost all such near octagons admit a big hex. Combining this with the results in [11], where we classified the dense near octagons of order (3, t) with a big hex, we get an incomplete classification for the dense near octagons of order (3, t): There are 28 known examples and a few open cases. For each open case, we have a rather detailed description of the structure of the near octagons involved.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
POLYGONS, HEXAGONS, VALUATIONS, valuation, generalized quadrangle, near polygon, near octagon
journal title
ANNALS OF COMBINATORICS
Ann. Comb.
volume
15
issue
1
pages
19 - 35
Web of Science type
Article
Web of Science id
000292037800002
JCR category
MATHEMATICS, APPLIED
JCR impact factor
0.324 (2011)
JCR rank
216/245 (2011)
JCR quartile
4 (2011)
ISSN
0218-0006
DOI
10.1007/s00026-011-0080-y
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
2027037
handle
http://hdl.handle.net/1854/LU-2027037
date created
2012-02-10 13:50:06
date last changed
2012-02-15 10:44:18
@article{2027037,
  abstract     = {This is the third paper dealing with the classification of the dense near octagons of order (3, t). Using the partial classification of the valuations of the possible hexes obtained in [12], we are able to show that almost all such near octagons admit a big hex. Combining this with the results in [11], where we classified the dense near octagons of order (3, t) with a big hex, we get an incomplete classification for the dense near octagons of order (3, t): There are 28 known examples and a few open cases. For each open case, we have a rather detailed description of the structure of the near octagons involved.},
  author       = {De Bruyn, Bart},
  issn         = {0218-0006},
  journal      = {ANNALS OF COMBINATORICS},
  keyword      = {POLYGONS,HEXAGONS,VALUATIONS,valuation,generalized quadrangle,near polygon,near octagon},
  language     = {eng},
  number       = {1},
  pages        = {19--35},
  title        = {Dense near octagons with four points on each line, III},
  url          = {http://dx.doi.org/10.1007/s00026-011-0080-y},
  volume       = {15},
  year         = {2011},
}

Chicago
De Bruyn, Bart. 2011. “Dense Near Octagons with Four Points on Each Line, III.” Annals of Combinatorics 15 (1): 19–35.
APA
De Bruyn, B. (2011). Dense near octagons with four points on each line, III. ANNALS OF COMBINATORICS, 15(1), 19–35.
Vancouver
1.
De Bruyn B. Dense near octagons with four points on each line, III. ANNALS OF COMBINATORICS. 2011;15(1):19–35.
MLA
De Bruyn, Bart. “Dense Near Octagons with Four Points on Each Line, III.” ANNALS OF COMBINATORICS 15.1 (2011): 19–35. Print.