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Regular Two-Graphs and Equiangular Lines
(University of Winnipeg, 2004)
Regular two-graphs are antipodal distance-regular double coverings of the complete graph, and they have many interesting combinatorial properties. We derive a construction for regular two-graphs containing cliques of ...
Vertex-transitive self-complementary uniform hypergraphs of prime order
(Discrete Mathematics, 2009-09)
For an integer n and a prime p, let n(p)=max{i:pidividesn}. In this paper, we present a construction for vertex-transitive self-complementary k-uniform hypergraphs of order n for each integer n such that pn(p)≡1(mod2ℓ+1) ...
Self-Complementary Hypergraphs
(University of Ottawa, 2009)
In this thesis, we survey the current research into self-complementary hypergraphs,
and present several new results.
We characterize the cycle type of the permutations on n elements with order equal
to a power of 2 which ...