A $H^{3}(G,{\mathbb T})$-valued index of symmetry protected topological phases with on-site finite group symmetry for two-dimensional quantum spin systems [PDF]
, 2021 Yoshiko Ogata
openalex +1 more source
Topological Index Theory for surfaces in 3–manifolds [PDF]
Geometry & Topology, 2010 The disk complex of a surface in a 3-manifold is used to define its {\it topological index}. Surfaces with well-defined topological index are shown to generalize well-known classes, such as incompressible, strongly irreducible, and critical surfaces.
openaire +4 more sources
Reconfigurable Three‐Dimensional Superconducting Nanoarchitectures
Advanced Functional Materials, EarlyView.3D superconducting nanostructures offer new possibilities for emergent physical phenomena. However, fabricating complex geometries remains challenging. Here 3D nanoprinting of complex 3D superconducting nanoarchitectures is established. As well as propagating superconducting vortices in 3D, anisotropic superconducting properties with geometric ...
Elina Zhakina +11 more
wiley +1 more source
Computing Eccentricity-Based Topological Indices of 2-Power Interconnection Networks
Journal of Chemistry, 2020 In a connected graph G with a vertex v, the eccentricity εv of v is the distance between v and a vertex farthest from v in the graph G. Among eccentricity-based topological indices, the eccentric connectivity index, the total eccentricity index, and the ...
Muhammad Imran +5 more
doaj +1 more source
Resolving Share and Topological Index
, 2014 16 pages, 2 ...
Salman, Muhammad +2 more
openaire +2 more sources
Low‐Symmetry Weyl Semimetals: A Path to Ideal Topological States
Advanced Functional Materials, EarlyView.This study presents a theoretical framework for realizing ideal Weyl semimetals, where Weyl nodes are well‐isolated at the Fermi level. The approach is exemplified in the low‐symmetry material Cu2SnSe3, which exhibits tunable topological phases, current‐induced orbital magnetization, and a strong circular photogalvanic effect, making it a promising ...
Darius‐Alexandru Deaconu +3 more
wiley +1 more source
Non-kekulean benzenoid hydrocarbon: physico-chemical properties for benzenoid hydrocarbon using topological indices and mpolynomial [PDF]
Computational Algorithms and Numerical DimensionsTopological indices are the numerical values that are connected to subatomic graphs in order to create the quantitative structure activity and structure attribute of a chemical compound and non-chemical graphs.
Anns Uzair +2 more
doaj +1 more source
Some topological indices of dendrimers determined by their Banhatti polynomials
Heterocyclic Communications, 2020 Several properties of chemical compounds in a molecular structure can be determined with the aid of mathematical languages provided by various types of topological indices.
Chu Zheng-Qing +6 more
doaj +1 more source
Topological Properties of Benzenoid Systems. XXIX. On Hosoya's Topological Index
Zeitschrift für Naturforschung A, 1984 Some properties of Hosoya's topological index Z and the modified topological index Z͂ of benzenoid hydrocarbons are examined. A simple relation between Z͂ and Z has been established, namely Z͂= Z1+a, where a = 0.02.
Ivan Gutman, Ahmed Shalabi
openaire +1 more source
Sparse Index Tracking via Topological Learning
, 2023 In this research, we introduce a novel methodology for the index tracking problem with sparse portfolios by leveraging topological data analysis (TDA). Utilizing persistence homology to measure the riskiness of assets, we introduce a topological method for data-driven learning of the parameters for regularization terms.
Goel, Anubha +2 more
openaire +2 more sources