Browsing Shonda Gosselin by Title
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Constructing Regular Selfcomplementary Uniform Hypergraphs
(Journal of Combinatorial Designs, 20110217)In this paper, we examine the possible orders of tsubsetregular selfcomplementary kuniform hypergraphs, which form examples of large sets of two isomorphic tdesigns. We reformulate Khosrovshahi and TayfehRezaie's ... 
Cyclically tcomplementary uniform hypergraphs
(European Journal of Combinatorics, 201005)A cyclically tcomplementary khypergraph is a kuniform 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 ... 
Generating selfcomplementary uniform hypergraphs
(Discrete Mathematics, 201002)In 2007, Szymanski and Wojda proved that for positive integers n; k with k less than n, a selfcomplementary kuniform hypergraph of order n exists if and only if n/k is even. In this paper, we characterize the cycle type ... 
Regular TwoGraphs and Equiangular Lines
(University of WinnipegUniversity of Waterloo, 2004)Regular twographs are antipodal distanceregular double coverings of the complete graph, and they have many interesting combinatorial properties. We derive a construction for regular twographs containing cliques of ... 
SelfComplementary Hypergraphs
(University of OttawaUniversity of Ottawa and Carleton University (joint program), 2009)In this thesis, we survey the current research into selfcomplementary 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 ... 
Vertextransitive selfcomplementary uniform hypergraphs of prime order
(Discrete Mathematics, 200909)For an integer n and a prime p, let n(p)=max{i:pidividesn}. In this paper, we present a construction for vertextransitive selfcomplementary kuniform hypergraphs of order n for each integer n such that pn(p)≡1(mod2ℓ+1) ...