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Now showing items 1-6 of 6

#### 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 ...

#### Generating self-complementary uniform hypergraphs

(Discrete Mathematics, 2010-02)

In 2007, Szymanski and Wojda proved that for positive integers n; k with k less than n, a self-complementary k-uniform hypergraph of order n exists if and only if n/k is even. In this paper, we characterize the cycle type ...

#### Constructing Regular Self-complementary Uniform Hypergraphs

(Journal of Combinatorial Designs, 2011-02-17)

In this paper, we examine the possible orders of t-subset-regular self-complementary k-uniform hypergraphs, which form examples of large sets of two isomorphic t-designs. We reformulate Khosrovshahi and Tayfeh-Rezaie's ...

#### 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) ...

#### Cyclically t-complementary uniform hypergraphs

(European Journal of Combinatorics, 2010-05)

A cyclically t-complementary k-hypergraph is a k-uniform hypergraph with vertex set V and edge set E for which there exists a permutation 2 Sym.V/ such that the sets E; E ; E 2; : : : ; E t1 partition the set of all ...

#### 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 ...