2 research outputs found

    Distance-regular graphs

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    This is a survey of distance-regular graphs. We present an introduction to distance-regular graphs for the reader who is unfamiliar with the subject, and then give an overview of some developments in the area of distance-regular graphs since the monograph 'BCN' [Brouwer, A.E., Cohen, A.M., Neumaier, A., Distance-Regular Graphs, Springer-Verlag, Berlin, 1989] was written.Comment: 156 page

    Relative symplectic subquadrangle hemisystems of the Hermitian surface

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    We introduce the notion of relative subquadrangle regular system of a generalized quadrangle. A relative subquadrangle regular system of order m on a generalized quadrangle S of order (s, t) is a set R of embedded subquadrangles with a prescribed intersection prop- erty with respect to a given subquadrangle T such that every point of S \ T lies on exactly m subquadrangles of R. If m is one half of the total number of such subquadrangles on a point we call R a relative subquadrangle hemisystem with respect to T . We construct two infinite families of symplectic relative subquadrangle hemisystems of the Hermitian surface H(3,q2), q even
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