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Association schemes on the sets of lines of regular near hexagons

Bart De Bruyn (UGent)
(2014) ARS COMBINATORIA. 115. p.283-292
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Abstract
We examine under what conditions there exists an association scheme on the set of lines of a regular near hexagon with quads of order (s, t(2)) through every two points at distance 2. All regular near hexagons with such an association scheme are determined in the case s >= t(2). Unfortunately, the case t(2) > s is still open.
Keywords
near hexagon, association scheme, generalized quadrangle

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Citation

Please use this url to cite or link to this publication:

Chicago
De Bruyn, Bart. 2014. “Association Schemes on the Sets of Lines of Regular Near Hexagons.” Ars Combinatoria 115: 283–292.
APA
De Bruyn, B. (2014). Association schemes on the sets of lines of regular near hexagons. ARS COMBINATORIA, 115, 283–292.
Vancouver
1.
De Bruyn B. Association schemes on the sets of lines of regular near hexagons. ARS COMBINATORIA. 2014;115:283–92.
MLA
De Bruyn, Bart. “Association Schemes on the Sets of Lines of Regular Near Hexagons.” ARS COMBINATORIA 115 (2014): 283–292. Print.
@article{5842829,
  abstract     = {We examine under what conditions there exists an association scheme on the set of lines of a regular near hexagon with quads of order (s, t(2)) through every two points at distance 2. All regular near hexagons with such an association scheme are determined in the case s {\textrangle}= t(2). Unfortunately, the case t(2) {\textrangle} s is still open.},
  author       = {De Bruyn, Bart},
  issn         = {0381-7032},
  journal      = {ARS COMBINATORIA},
  keyword      = {near hexagon,association scheme,generalized quadrangle},
  language     = {eng},
  pages        = {283--292},
  title        = {Association schemes on the sets of lines of regular near hexagons},
  volume       = {115},
  year         = {2014},
}

Web of Science
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