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Chemical applications of topology and group theory 27. Topological aspects of polyoxovanadate macropolyhedra

Journal of Molecular Structure: THEOCHEM, 1995
Abstract The square pyramidal VOtO4b and octahedral VOtO4bOi vertices of polyoxovanadates have non-bonding dxy orbitals, which can overlap weakly, leading to stabilization of derivatives with d1 VIV vertices through binodal orbital aromaticity. The S4 symmetry of dxy orbitals favors structures based on vanadium macropolyhedra with VOV edges and C4 ...
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Closed-shell three-connected clusters: topological and group-theoretical aspects

Journal of the Chemical Society, Faraday Transactions, 1991
Group-theoretical and topological arguments are presented within the tensor surface harmonic framework in order to predict polyhedral geometries for three-connected pseudo-spherical clusters, such as the C2n fullerenes. Topological and symmetry relationships between polyhedra, their duals, edge-figures and truncated derivatives are outlined.
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Combinatorial Curvatures, Group Actions, and Colourings: Aspects of Topological Combinatorics

2005
The first part asks whether classical notions of curvature known from differential geometry can be carried over to discrete structures. Of particular interest are analogies on a structural level; questions of convergence are not considered. Chapter 1 is motivated by constructions well-known in differential geometry.
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Topological and algebraic aspects of virtual Artin groups

Aspects topologiques et algébriques des groupes d'Artin virtuels Cette thèse est consacrée à l'étude des groupes d'Artin virtuels, une classe de groupes récemment introduite par Bellingeri, Paris et Thiel. Parmi ceux-ci figure notamment le groupe de tresses virtuel, qui présente de riches liens avec la combinatoire et la topologie en ...
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An Introduction to Topological Data Analysis: Fundamental and Practical Aspects for Data Scientists

Frontiers in Artificial Intelligence, 2021
Frédéric Chazal, Bertrand Michel
exaly  

Some combinatorial aspects in algebraic topology and geometric group theory

2018
The present Msc thesis deals with classical topics of topology and it has been written, referring to [C. Kosniowski, Introduction to Algebraic Topology, Cambridge University Press, 1980, Cambridge], which is a well known textbook of algebraic topology. It has been selected a list of main exercises from this reference, whose solutions were not directly ...
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Degree-Based Topological Aspects of Polyphenylene Nanostructures

Polycyclic Aromatic Compounds, 2022
Saad Ihsan Butt   +2 more
exaly  

Superconductivity and topological aspects of the rocksalt carbides NbC and TaC

Physical Review B, 2020
Toni Shiroka   +2 more
exaly  

Deep learning of topological phase transitions from entanglement aspects

Physical Review B, 2020
Yu-Hao Hsu   +2 more
exaly  

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