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Mathematical aspects and topological properties of two chemical networks
AIMS Mathematics, 2023 Graphs give a mathematical model of molecules, and thery are used extensively in chemical investigation. Strategically selections of graph invariants (formerly called "topological indices" or "molecular descriptors") are used in the mathematical modeling
Ali Al Khabyah
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Topological Interference Management Through Index Coding [PDF]
IEEE Transactions on Information Theory, 2014 This work studies linear interference networks, both wired and wireless, with no channel state information at the transmitters (CSIT) except a coarse knowledge of the end-to-end one-hop topology of the network that only allows a distinction between weak (zero) and significant (non-zero) channels and no further knowledge of the channel coefficients ...
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Tutorial: Topology, Waves, and the Refractive Index
International Journal of Theoretical Physics, 2023 AbstractThis tutorial is divided into two parts: the first examines the application of topology to problems in wave physics. The origins of the Chern number are reviewed, where it is shown that this counts the number of critical points of a complex tangent vector field on the surface.
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Degree-Based Topological Indices of Boron B12
Journal of Chemistry, 2021 Topological index sometimes called molecular descriptor is a numerical value which associates a chemical composition for correlating chemical structure with numerous physical properties, chemical reactivity, or biological activity.
Nouman Saeed +4 more
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Factorising the 3D topologically twisted index [PDF]
Journal of High Energy Physics, 2017 Exploramos la integración de rutas, sobre el contorno de configuraciones de campos hermíticas (no auxiliares), de $$ \mathcal{N}=2 $$ Teoría de la materia de Chern-Simons (TTCSM) topológicamente retorcida en $$ {\mathbb{S}}_2 $$ veces por segmento.
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Comparative study of topological charge [PDF]
, 2015 Comparative study of topological charge is performed. Topological charges are measured by a cloverleaf operator on smoothed gauge configurations. Various types of smoothing techniques are employed.
Namekawa, Yusuke
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Relating the ABC and harmonic indices [PDF]
Journal of the Serbian Chemical Society, 2014 The atom-bond connectivity (ABC) index is a much-studied molecular structure descriptor, based on the degrees of the vertices of the molecular graph.
Gutman Ivan, Zhong Lingping, Xu Kexiang
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Determining topological order from a local ground state correlation function
, 2011 Topological insulators are physically distinguishable from normal insulators only near edges and defects, while in the bulk there is no clear signature to their topological order.
E. M. Lifshitz +3 more
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Topological Indices of H-Naphtalenic Nanosheet
Open Chemistry, 2018 In chemical graph theory, a single numeric number related to a chemical structure is called a topological descriptor or topological index of a graph.
Idrees Nazeran +4 more
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Majorana zero modes bound to a vortex line in a topological superconductor
, 2010 We explore Majorana zero modes bound to a vortex line in a three dimensional topological superconductor model, focusing our attention on the validity of the index theorem previously derived.
Fukui, T.
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