Regular partitions of (weak) finite generalized polygons

Designs, Codes, and Cryptography

Volumn 47, Issue 1-3, 2008, Pages 53-73

  De Wispelaere, A ^a   Van Maldeghem, H ^a  

^a GHENT UNIVERSITY   (Belgium)

Author keywords

Distance regular graphs; Generalized polygons; Regular partition

Indexed keywords

DISTANCE REGULAR GRAPHS; GENERALIZED POLYGONS; INTERSECTION NUMBERS; NEW RESULTS; REGULAR PARTITION; STRUCTURAL INVESTIGATIONS; VERTEX SETS;

PARTITIONS (BUILDING);

EID: 64949114115     PISSN: 09251022     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10623-007-9062-9     Document Type: Article

References (17)

1. Bamberg J, Kelly S, Law M, Penttila T Tight sets and m-ovoids of finite polar spaces. Accepted in J Comb Theory A
2. Biggs N (1974). Algebraic graph theory. Cambridge University Press, Cambridge
3. De Kaey J, Offer A, Van Maldeghem H (2006) On a characterization of the finite twisted triality hexagons using one classical ideal split Cayley subhexagon. Innov Incidence Geom 4:27-52
4. De Smet V, Van Maldeghem H (1993) Ovoids and windows in finite generalized hexagons. In: De Clerck F et al (ed) Finite geometry and combinatorics. Proceedings Deinze 1992, London math soc lecture note ser, vol 191. Cambridge University Press, Cambridge, pp 131-138
5. De Wispelaere A (2005) Ovoids and spreads of finite classical generalized hexagons and applications. Ph.D. Thesis, Ghent University
6. A De Wispelaere H Van Maldeghem 2004 A distance-2-spread of the generalized hexagon H(3) Ann Combin 8 133 154
7. A De Wispelaere H Van Maldeghem 2005 Codes from generalized hexagons Des Codes Cryptogr 37 3 435 448
8. 2) and a distance-2-ovoid in the generalized hexagon H(4). Accepted in Discr Math
9. W Feit G Higman 1964 The non-existence of certain generalized polygons J Algebra 1 114 131
10. Haemers WH (1979) Eigenvalue techniques in design and graph theory. Ph.D. Thesis, Mathematisch Centrum, Amsterdam
11. A Offer 2002 On the order of a generalized hexagon admitting an ovoid or spread J Combin Theory Ser A 97 184 186
12. A Offer H Van Maldeghem 2005 Distance-j ovoids and related structures in generalized polygons Discrere Math 294 147 160
13. JA Thas 1974 A remark concerning the restriction on the parameters of a 4-gonal subconfiguration Bull Belg Math Soc 48 65 68
14. JA Thas 1976 A restriction on the parameters of a subhexagon J Combin Theory Ser A 21 115 117
15. J Tits 1959 Sur la trialité et certains groupes qui s'en déduisent Inst Hautes Etudes Sci Publ Math 2 13 60
16. Tits J (1976) Classification of buildings of spherical type and Moufang polygons: a survey. In: Coll. Intern. Theorie Combin. Acc. Naz. Lincei, Proceedings Roma 1973. Atti dei Convegni Lincei 17:229-246
17. Van Maldeghem H (1998). Generalized polygons. Birkhäuser, Basel