Topological invariance of the homological index [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2015 Abstract R. W. Carey and J. Pincus in [6] proposed an index theory for non-Fredholm bounded operators T on a separable Hilbert space ℋ {\mathcal{H}} such that
Alan L. Carey, Jens Kaad
openalex +6 more sources
Topological properties of Graphene using some novel neighborhood degree-based topological indices
International Journal of Mathematics for Industry, 2019 Topological indices are numeric quantities that transform chemical structure to real number. Topological indices are used in QSAR/QSPR studies to correlate the bioactivity and physiochemical properties of molecule.
Sourav Mondal, Nilanjan De, Anita Pal
doaj +1 more source
Some Topological Invariants of Graphs Associated with the Group of Symmetries
Journal of Chemistry, 2020 A topological index is a quantity that is somehow calculated from a graph (molecular structure), which reflects relevant structural features of the underlying molecule.
Chang-Cheng Wei +6 more
doaj +1 more source
Solitary Waves in Massive Nonlinear S^N-Sigma Models [PDF]
, 2010 The solitary waves of massive (1+1)-dimensional nonlinear S^N-sigma models are unveiled. It is shown that the solitary waves in these systems are in one-to-one correspondence with the separatrix trajectories in the repulsive N-dimensional Neumann ...
Izquierdo, A. Alonso +2 more
core +5 more sources
Eccentric topological properties of a graph associated to a finite dimensional vector space
Main Group Metal Chemistry, 2020 A topological index is actually designed by transforming a chemical structure into a number. Topological index is a graph invariant which characterizes the topology of the graph and remains invariant under graph automorphism.
Liu Jia-Bao +5 more
doaj +1 more source
A Numerical Study of Spectral Flows of Hermitian Wilson-Dirac Operator and the Index Theorem in Abelian Gauge Theories on Finite Lattices [PDF]
, 2000 We investigate the index of the Neuberger's Dirac operator in abelian gauge theories on finite lattices by numerically analyzing the spectrum of the hermitian Wilson-Dirac operator for a continuous family of gauge fields connecting different topological ...
Fujiwara, T.
core +2 more sources
Mostar Index of Cycle-Related Structures
Journal of Chemistry, 2022 A topological index is a numerical quantity associated with the molecular structure of a chemical compound. This number remains fixed with respect to the symmetry of a molecular graph.
Fatima Asif +3 more
doaj +1 more source
Computation of Several Banhatti and Reven Invariants of Silicon Carbides
مجلة بغداد للعلوم, 2023 Expressions for the molecular topological features of silicon carbide compounds are essential for quantitative structure-property and structure-activity interactions.
Abid Mahboob +3 more
doaj +1 more source
An Introduction to Topological Insulators [PDF]
, 2013 Electronic bands in crystals are described by an ensemble of Bloch wave functions indexed by momenta defined in the first Brillouin Zone, and their associated energies.
Carpentier, David, Fruchart, Michel
core +4 more sources
Hosoya, Schultz, and Gutman Polynomials of Generalized Petersen Graphs Pn,1 and Pn,2
Journal of Mathematics, 2023 The graph theory has wide important applications in various other types of sciences. In chemical graph theory, we have many topological polynomials for a graph G through which we can compute many topological indices.
Ramy Shaheen +2 more
doaj +1 more source