Zobrazeno 1 - 10
of 10
pro vyhledávání: '"Pieter Vandecasteele"'
Autor:
B. De Bruyn, Pieter Vandecasteele
Publikováno v:
Discrete Mathematics
In De Bruyn (2003) [4] it was shown that the dual polar space DH(2n-1,4), n>=2, has a sub-near 2n-gon G"n with a large automorphism group. In this paper, we classify the valuations of the near octagon G"4. We show that each such valuation is either c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b3bb4ff41234baf38ff2771cbb0fb8ce
https://doi.org/10.1016/j.disc.2009.09.013
https://doi.org/10.1016/j.disc.2009.09.013
Autor:
B. De Bruyn, Pieter Vandecasteele
Publikováno v:
Graphs and Combinatorics. 23:601-623
Let Hn, n ≥ 2, be the near 2n-gon on the 2-factors of a complete graph with 2n + 2 vertices. In this paper, we classify the valuations of the near octagon H4. We use this classification to study isometric full embeddings of H4 into DQ(8,2) and DH(7
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::3275ce91631680b7621ba66a696780f7
https://doi.org/10.1007/s00373-007-0759-3
https://doi.org/10.1007/s00373-007-0759-3
Autor:
Pieter Vandecasteele, Bart De Bruyn
Publikováno v:
European Journal of Combinatorics. 28:410-428
We classify all dense near octagons with three points on each line.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2c9033f435fc2436be582b1dd2e59c05
https://doi.org/10.1016/j.ejc.2005.06.002
https://doi.org/10.1016/j.ejc.2005.06.002
Autor:
Pieter Vandecasteele, Bart De Bruyn
Publikováno v:
Annals of Combinatorics. 10:193-210
We determine all distance-2-sets and all valuations of the 11 slim dense near hexagons. We consider this as a necessary step in order to classify all slim dense near octagons. These near octagons will be classified in a forthcoming paper.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::38aeaaa231e626aed616b9c1f7f0af6b
https://doi.org/10.1007/s00026-006-0282-x
https://doi.org/10.1007/s00026-006-0282-x
Autor:
Bart De Bruyn, Pieter Vandecasteele
Publikováno v:
Journal of Combinatorial Designs. 14:214-228
Valuations of dense near polygons were introduced in 16. In the present paper, we classify all valuations of the near hexagons 1 and 2, which are related to the respective Witt designs S(5,6,12) and S(5,8,24). Using these classifications, we prove th
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::69b4cdf0cdf7e5c8d3c206dd80043b5c
https://doi.org/10.1002/jcd.20074
https://doi.org/10.1002/jcd.20074
Autor:
Bart De Bruyn, Pieter Vandecasteele
Publikováno v:
Journal of Combinatorial Theory, Series A. 112:194-211
Valuations were introduced in De Bruyn and Vandecasteele (Valuations of near polygons,preprint, 2004) as a very important tool for classifying near polygons. In the present paper we study valuations of dual polar spaces. We will introduce the class o
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc5e8c4c6f90f32c9a0902c98f98163d
https://doi.org/10.1016/j.jcta.2005.02.001
https://doi.org/10.1016/j.jcta.2005.02.001
Autor:
Bart De Bruyn, Pieter Vandecasteele
Publikováno v:
Glasgow Mathematical Journal. 47:347-361
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c088e41effa9d52913139093ce2beab3
https://doi.org/10.1017/s0017089505002582
https://doi.org/10.1017/s0017089505002582
Autor:
Pieter Vandecasteele, Bart De Bruyn
Publikováno v:
Journal of Combinatorial Theory, Series A. 108(2):297-311
In (Eur. J. Combin. 24 (2003) 631) we defined a class of near polygons and conjectured that the near 2n-gons from this class are precisely those near polygons which satisfy the following properties: (i) every line is incident with exactly three point
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1736b1c9ec502027b0aade9b38ee1c37
Autor:
Pieter Vandecasteele, Bart De Bruyn
Publikováno v:
European Journal of Combinatorics. 24:631-647
We introduce two conjectures concerning the structure of dense near polygons with three points on each line. The first conjecture deals with the whole class of such near polygons. The second conjecture deals with only those near polygons which have a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c5f4519959d885ea22354418b7abe0b
https://doi.org/10.1016/s0195-6698(03)00066-0
https://doi.org/10.1016/s0195-6698(03)00066-0
Autor:
Bart De Bruyn, Pieter Vandecasteele
Publikováno v:
The Electronic Journal of Combinatorics. 13
The maximal and next-to-maximal subspaces of a nonsingular parabolic quadric $Q(2n,2)$, $n \geq 2$, which are not contained in a given hyperbolic quadric $Q^+(2n-1,2) \subset Q(2n,2)$ define a sub near polygon ${\Bbb I}_n$ of the dual polar space $DQ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::967b2d822a3d6ed5d961feaa5c6e191f
https://doi.org/10.37236/1102
https://doi.org/10.37236/1102