Design theory
The MAGMA algebra system I: the user language
Journal of Symbolic Computation - Special issue on computational algebra and number theory: proceedings of the first MAGMA conference
Finite locally-quasiprimitive graphs
Discrete Mathematics
Imprimitive symmetric graphs, 3-arc graphs and 1-designs
Discrete Mathematics - Algebraic and topological methods in graph theory
Constructing a class of symmetric graphs
European Journal of Combinatorics
Finite symmetric graphs with two-arc transitive quotients
Journal of Combinatorial Theory Series B
Finite symmetric graphs with two-arc transitive quotients II
Journal of Graph Theory
Almost covers of 2-arc transitive graphs
Combinatorica
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A finite graph Γ is called G-symmetric if G is a group of automorphisms of Γ which is transitive on the set of ordered pairs of adjacent vertices of Γ. We study a family of symmetric graphs, called the unitary graphs, whose vertices are flags of the Hermitian unital and whose adjacency relations are determined by certain elements of the underlying finite fields. Such graphs admit the unitary groups as groups of automorphisms, and play a significant role in the classification of a family of symmetric graphs with complete quotients such that an associated incidence structure is a doubly point-transitive linear space. We give this classification in the paper and also investigate combinatorial properties of the unitary graphs.