Results 241 to 250 of about 275,044 (284)

Topological Lasing from Thouless Pumping in Bilayer Photonic Crystal. [PDF]

open access: yesACS Photonics
Nguyen DH   +7 more
europepmc   +1 more source

A forgotten topological index

Journal of Mathematical Chemistry, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Furtula, Boris, Gutman, Ivan
openaire   +3 more sources

Generalized Topological Index

K-Theory, 1997
The topological index was defined by Atiyah and Singer [see \textit{M. F. Atiyah} and \textit{I. M. Singer}, ``The index of elliptic operators. I'', Ann. Math., II. Ser. 87, 484-530 (1968; Zbl 0164.24001)] and they showed that this index satisfies three axioms: excision, multiplicativity and normalization.
Foth, Philip A., Tamarkin, Dmitry E.
openaire   +1 more source

Molecular topological index

Journal of Chemical Information and Computer Sciences, 1990
The molecular topological index (MTI) has been systematically tested for counterexamples (two or more nonisomorphic structures with the same MTI number). The analysis was carried out for alkane trees with up to 16 atoms. The search for counterexamples was positive : the first pair of alkane trees with identical MTI numbers was found in the octane ...
Wolfgang R. Mueller   +3 more
openaire   +1 more source

A Novel Quantum-Topology Index

Journal of Chemical Information and Computer Sciences, 2000
By modifying the delta values of molecular connectivity indexes, new quantum-topology descriptors are presented in this paper. Their ability to describe molecular structure, both geometric and electronic, is established by correlating them with the bonding energy (E), force constant (kappa), and radius (R) of a heterogeneous set of monohydrides, as ...
, Li, , Yu, , Zhu
openaire   +2 more sources

A Z2-topological index as a Z2-state index

Journal of Mathematical Physics, 2022
Within the setting of infinite-dimensional self-dual CAR C* algebras describing fermions in the Zd lattice, we depart from the well-known Araki–Evans σ(P1,P2)Z2 index for quasi-free fermion states and rewrite it in terms of states rather than in terms of basis projections.
N. J. B. Aza   +2 more
openaire   +1 more source

On reciprocal molecular topological index

Journal of Mathematical Chemistry, 2007
We report some properties of the reciprocal molecular topological index RMTI of a connected graph, and, in particular, its relationship with the first Zagreb index M-1. We also derive the upper bounds for RMTI in terms of the number of vertices and the number of edges for various classes of graphs, including Kr+1 -free graphs with r >= 2, quadrangle ...
Zhou, Bo, Trinajstić, Nenad
openaire   +1 more source

Topological symmetry identification of kinematic chains based on topological index

Mechanism and Machine Theory, 2020
Abstract To improve the synthesis efficiency of kinematic chains (KCs) and mechanisms, the topological symmetry of a chain should be considered. However, the symmetry recognition of pairs is rarely mentioned. Therefore, an index, called the extended adjacency identification index for the symmetry of KCs (SKC-EAID), is proposed to identify the ...
Tao Deng   +4 more
openaire   +1 more source

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