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Partial geometries in finite affine spaces

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References

  1. Barlotti, A.: Su {k;n}-archi, di un piano lineare finito. Boll. Un. mat. Ital., III. Ser.11, 553–556 (1956)

    Google Scholar 

  2. Bose, R.C.: Strongly regular graphs, partial geometries and partially balanced designs. Pacific J. Math.13, 389–419 (1963)

    Google Scholar 

  3. Buekenhout, F., Lefèvre, C.: Generalized quadrangles in projective spaces. Arch. der Math.25, 540–552 (1974)

    Google Scholar 

  4. Cameron, P.J., Goethals, J.-M., Seidel, J.J.: Strongly regular graphs having strongly regular subconstituents (to appear)

  5. De Clerck, F., Thas, J.A.: Partial geometries in finite projective spaces. Arch. der Math. (to appear)

  6. Dembowski, P.: Finite geometries. Berlin-Heidelberg-New York: Springer 1968

    Google Scholar 

  7. Higman, D.G.: Partial geometries, generalized quadrangles and strongly regular graphs. In: Atti Convegno di Geometria e sue Applicazioni (Perugia 1970) pp. 263–293. Perugia: Università Degli Studi di Perugia 1971

    Google Scholar 

  8. Payne, S.E.: Finite generalized quadrangles: a survey. In: Proceedings of the International Conference on Projective Planes. (Pullman 1973) pp. 219–261. Pullman: Washington State University Press (1973)

    Google Scholar 

  9. Payne, S.E.: A restriction on the parameters of a subquadrangle. Bull. Amer. math. Soc.79, 747–748 (1973)

    Google Scholar 

  10. Seidel, J.J.: Strongly regular graphs with (−1, 1, 0) adjacency matrix having eigenvalue 3. Linear Algebra Appl.1, 281–298 (1968)

    Google Scholar 

  11. Shult, E.: Characterizations of certain classes of graphs. J. combinat. Theory, Ser. B13, 142–167 (1972)

    Google Scholar 

  12. Tallini, G.: Problemi e Risultati sulle Geometrie di Galois, Rel. N30. Istituto di Matematica-Università-Napoli (1973)

  13. Tallini-Scafati, M.: {k,n}-archi di un piano grafico finito, con particolare riguardo a quelli con due caratteri. Nota I, II. Atti Accad. naz. Lincei VIII. Ser., Rend., Cl. Sci., fis. mat. natur.40, 812–818, 1020–1025 (1966)

    Google Scholar 

  14. Thas, J.A., Payne, S.E.: Classical finite generalized quadrangles: A combinatorial study. Ars comb.12, 57–110 (1976)

    Google Scholar 

  15. Thas, J.A.: A remark concerning the restriction on the parameters of a 4-gonal subconfiguration. Simon Stevin48, 65–68 (1974–75)

    Google Scholar 

  16. Thas, J.A.: 4-gonal subconfigurations of a given 4-gonal configuration. Atti Accad. naz. Lincei, VIII. Ser., Rend., Cl. Sci., fis. mat. natur.53, 520–530 (1972)

    Google Scholar 

  17. Thas, J.A.: On 4-gonal configurations with parametersr=q 2+1 andk=q+1, Part I. Geometriae Dedicata3, 365–375 (1974)

    Google Scholar 

  18. Thas, J.A., De Winne, P.: Generalized quadrangles in finite projective spaces. J. Geometry (to appear)

Download references

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  1. Seminar of Higher Geometry, University of Ghent, Krijgslaan 271-S.9, B-9000, Gent, Belgium

    Joseph A. Thas

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  1. Joseph A. Thas
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Thas, J.A. Partial geometries in finite affine spaces. Math Z 158, 1–13 (1978). https://doi.org/10.1007/BF01214560

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