Global ETD Search
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Showing 1 to 10 of 10 for “"association schemes"”.
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Fusions of association schemes
… configurations by Bose and Mesner in 1959, association schemes have gained significant importance in algebraic combinatorics. An important breakthrough was achieved by Delsarte’s PhD thesis where he proved that many problems from coding theory, combinatorial design theory and statistics can …
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The Schurian association schemes associated with parabolic subgroups of Coxeter groups
… of these double coset algebras from the association scheme perspective. We give an overview of their orders, ranks, commutativity, and character tables, investigate their nontrivial closed subsets, quotients and fusions, and look for possible relationships between the association schemes …
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Incidence geometry from an algebraic graph theory point of view
… concepts from algebraic graph theory, such as association schemes and distance-regular graphs, and the main techniques, including the fundamental contributions by Delsarte. Chapter 3 deals with the Grassmann association schemes, or more geometrically: with the projective geometries. Several …
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Torsion Units of Integral Group Rings and Scheme Rings
… group rings, integral adjacency algebras of association schemes and integral C-algebras. Torsion units of group rings have been studied extensively since the 1960’s. Much of the attention has been devoted to the Zassenhaus conjecture for normalized torsion units of ZG, which says that they …
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Ballistic missile tracking using the interacting multiple model joint probabilistic data association filter
… multiple model joint probabilistic data association filter to effectively track a ballistic missile and detect decoys and maneuvers is the focus of this thesis. Model development and data association schemes are discussed along with optimized values for selected parameters. Performance …
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Combined intra- and inter-block analysis for factorials in incomplete block designs
… treatment combinations were assigned to the association schemes by permitting the rows of the association schemes to represent the levels of one factor and the columns to represent the levels of a second factor. The extension to multifactor factorials was then carried out by sub-dividing the …
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Applications of Schur rings in algebraic combinatorics: graphs, partial difference sets and cyclotomic schemes
… Starting in the fifties, similar concepts like association schemes, cellular algebras and coherent configurations were introduced independently by different authors. They were used for various questions in algebraic combinatorics and statistics. In this thesis three different tasks which are …
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Hyperovals, Laguerre planes and hemisystems - an approach via symmetry
… regular graphs, partial quadrangles, and association schemes. In 2005, Cossidente and Penttila constructed a family of hemisystems in H(3,q2), q odd, and in 2009, the same authors constructed a family of hemisystem in H(5,q2), q odd. We develop a new approach that generalizes the previous …