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Showing 1 to 6 of 6 for “"topological similarity"”.
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Dimensions of Self-Similar Fractals
We investigate the topological, similarity and Hausdorff dimensions of self-similar fractals that are the invariant sets of iterated function systems. We start with the Contraction Mapping Theorem, which will give us a constructive method in which to find fractals using iterated function systems. …
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Centralizers in automorphism groups
… In the second chapter, we investigate the topological complexity of the set of n-th powers in the group of isometries of Baire space. We prove that for n > 1, this set is not Borel. In the third chapter, we investigate topological similarity, an equivalence re- lation on a Polish group …
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Extending partial isomorphisms
… chapter we study two-dimensional classes of topological similarity in the groups of automorphisms of some linearly ordered Fraisse classes: the rationals, the linearly ordered random graph and the linearly ordered Urysohn space. The main theorem establishes meagerness of two-dimensional …
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On Ranked Approximate Matching Of Large Attributed Graphs
… process is aided by domain sensitive similarity matrices, which in turn helps improve the matching performance. The vector space embedding of the graphs and efficient filtration of the search space enables computation of approximate graph similarity at a throw-away cost. We combine …
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Algorithms for discovering disease genes by integrating 'omics data
… a novel algorithm, VAVIEN, that utilizes the topological similarity of proteins in the human PPI network to prioritize candidate disease genes that reside in linkage intervals potentially associated with the disease. Finally, we incorporate mRNA expression data into our studies and propose a …
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Lithium-based inorganic-organic framework materials
… and hydrogen bonding. Three crystal structures topologically identical to lithium succinate, Li2(C4H4O4), have been discovered using substituted forms of the ligand: lithium L-malate, Li2(C4H4O5), lithium methylsuccinate, Li2(C5H6O4), and lithium tetrafluorosuccinate, Li2(C4F4O4). The cell …