Global ETD Search
Search theses and dissertations gathered from participating repositories worldwide. Every result links back to the library that holds it. No account is needed.
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Showing 1 to 5 of 5 for “"Algebraic Graph Theory"”.
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Incidence geometry from an algebraic graph theory point of view
… goal of this thesis is to apply techniques from algebraic graph theory to finite incidence geometry. The incidence geometries under consideration include projective spaces, polar spaces and near polygons. These geometries give rise to one or more graphs. By use of eigenvalue techniques, we obtain …
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Automorphism Groups of the Augmented Distance Graphs of Trees
In algebraic graph theory one studies algebraic variants of graphs by forming matrices and groups relating to the graph. One example of this is the distance matrices, $\Gamma\sb{\rm i}$, and their associated groups.
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Hypergraph Distributed Optimization & Decentralized Control with Applications in Economic Networks and Graphical Games
… mathematics results focus on the use of hypergraphs instead of their graph analogue, the clique expansion graphs in the settings of distributed optimization and decentralized control. In both settings we present results where the use of hypergraphs provides a scalable and a decentralized way …
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Chaos and Scrambling in Quantum Small Worlds
… is given by the Watts-Strogatz model of network theory. As such, they furnish a novel laboratory for studying quantum systems transitioning between integrable and non-integrable behaviour. Our motivation is to understand how the dynamics of the system are affected by this transition, particularly …
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Trellis Decoding And Applications For Quantum Error Correction
Compact, graphical representations of error-correcting codes called trellises are a crucial tool in classical coding theory, establishing both theoretical properties and performance metrics for practical use. The idea was extended to quantum error-correcting codes by Ollivier and Tillich in 2005. …