Search for dissertations about: "algebraic graph theory"
Showing result 1 - 5 of 7 swedish dissertations containing the words algebraic graph theory.
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1. Canonical Bases for Algebraic Computations
Abstract : This thesis deals with computational methods in algebra, mainly focusing on the concept of Gröbner and SAGBI bases in non-commutative algebras. The material has a natural division into two parts. The first part is a rather extensive treatment of the basic theory of Gröbner bases and SAGBI bases in the non-commutative polynomial ring. READ MORE
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2. Formal Languages and Automata in Computational Algebra
Abstract : This thesis is a collection of six papers in computational algebra. In particular, we study noncommutative Gröb- ner bases, SAGBI bases and similar algebraic objects which can be represented as a graph or an automaton. READ MORE
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3. Limit Laws, Homogenizable Structures and Their Connections
Abstract : This thesis is in the field of mathematical logic and especially model theory. The thesis contain six papers where the common theme is the Rado graph R. Some of the interesting abstract properties of R are that it is simple, homogeneous (and thus countably categorical), has SU-rank 1 and trivial dependence. READ MORE
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4. Universal algebraic structures on polyvector fields
Abstract : The theory of operads is a conceptual framework that has become a kind of universal language, relating branches of topology and algebra. This thesis uses the operadic framework to study the derived algebraic properties of polyvector fields on manifolds.The thesis is divided into eight chapters. READ MORE
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5. Switched Bond Graphs : Simulation and Analysis
Abstract : In this thesis an approach to modeling and simulation of mode switching systems is investigated. This approach, switched bond graphs, is an extension of the bond graph language in the sense that it allows modeling of mode switching phenomena.The classical bond graph language as well as the switched bond graph language are presented. READ MORE