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  • 1995-1999  (3)
  • 1
    Electronic Resource
    Electronic Resource
    A family of multiply extended grids (1996)
    Springer
    Graphs and combinatorics 12 (1996), S. 283-293 
    Details
    ISSN: 1435-5914
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science , Mathematics
    Notes: Abstract We construct an infinite family{Γ n}n=5 of finite connected graphsΓ n that are multiple extensions of the well-known “extended grid” discovered in [1] (which is isomorphic toΓ 5). The graphsΓ n are locallyΓ n−1 forn 〉 5, and have the following property: the automorphism groupG(n) ofΓ n permutes transitively the maximal cliques ofΓ n (which aren-cliques) and the stabilizer of somen-cliqueπ ofΓ n inG(n) inducesΣ n on the vertices ofπ. Furthermore we show that the clique complexes of the graphsΓ n are simply connected.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01858461
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    Paper (German National Licenses)
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  • 2
    Electronic Resource
    Electronic Resource
    FG(2)-Expansions (1997)
    Springer
    Geometriae dedicata 67 (1997), S. 163-180 
    Details
    ISSN: 1572-9168
    Keywords: Coxter complexes ; GF(2)-modules ; affine expansions.
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Notes: Abstract Let Γ be a finite geometry of rank n ≥ 2 with a selected type of elements, called'points'. Let m be the number of'points' of Γ. Under some mild hypotheses on Γ we can consider an affine expansion of Γ to AG(m,2). We prove that the geometries obtained by applying this construction to matroids are simply connected. Then we exploit this result to study universal covers of certain geometries arising from hyperbolic quadrics and symplectic varieties over GF.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1023/A:1004913528398
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    Paper (German National Licenses)
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  • 3
    Electronic Resource
    Electronic Resource
    A note on three rank four geometries for PΩ6 −(3) (1995)
    Springer
    Journal of geometry 54 (1995), S. 84-90 
    Details
    ISSN: 1420-8997
    Source: Springer Online Journal Archives 1860-2000
    Topics: Mathematics
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01222856
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    Paper (German National Licenses)
    Fulltext
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