Results 21 to 30 of about 272,456 (331)

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
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Groupoids and an index theorem for conical pseudo-manifolds [PDF]

, 2006
We define an analytical index map and a topological index map for conical pseudomanifolds. These constructions generalize the analogous constructions used by Atiyah and Singer in the proof of their topological index theorem for a smooth, compact manifold
Baaj Saad, Cheeger J., Claire Debord, da Silva A. Cannas, Debord C., Fedosov B., Freed D., Gorokhovsky A., Hilsum M., Jean-Marie Lescure, Kasparov G. G., Lauter R., Lescure J.-M., Mackenzie K., Melo S. T., Melrose R. B., Muhly P., Nazaikinskii V. E., Nazakinski V. E., Nistor V., Victor Nistor   +20 more
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Index theorem on chiral Landau bands for topological fermions

, 2021
Topological fermions as excitations from multi-degenerate Fermi points have been attracting increasing interests in condensed matter physics. They are characterized by topological charges, and magnetic fields are usually applied in experiments for their ...
Yang, Shengyuan A., Zhao, Y. X.
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The Calculations of Topological Indices on Certain Networks

Journal of Mathematics, 2021
It is one of the core problems in the study of chemical graph theory to study the topological index of molecular graph and the internal relationship between its structural properties and some invariants.
Jia-Bao Liu, Ting Zhang, Sakander Hayat
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The Sum of a Topological Index and Its Reciprocal Index [PDF]

Match Communications in Mathematical and in Computer Chemistry
Summary: Let \(G\) be a simple connected graph. For a vertex-degree-based topological index \(TI_f(G) = \sum\limits_{uv\in E(G)}f(d_u, d_v)\), where \(f(x, y)\) is a pertinently chosen symmetric real function, the topological index \(RTI_f(G) = \sum\limits_{uv\in E(G)}\frac{1}{f(d_u, d_v)}\) is called the reciprocal index of \(TI_f\).
Wei Gao
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On Distance-Based Topological Descriptors of Chemical Interconnection Networks

Journal of Mathematics, 2021
Structure-based topological descriptors of chemical networks enable us the prediction of physico-chemical properties and the bioactivities of compounds through QSAR/QSPR methods.
Min Hu, Haidar Ali, Muhammad Ahsan Binyamin, Bilal Ali, Jia-Bao Liu, Chengmei Fan   +5 more
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Topological Steric Effect Index and Its Application. [PDF]

ChemInform, 2004
This paper proposed a Topological Steric Effect Index (TSEI) of a group based on the relative specific volume of the reaction center screened by the atoms of the substituents. Investigated results show good correlations between the parameter TSEI and the dihedral angles between both phenyl rings determined by photoelectron spectroscopy for 7 ...
Chenzhong, Cao, Li, Liu
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M-Polynomials and Topological Indices for Line Graphs of Chain Silicate Network and H-Naphtalenic Nanotubes

Journal of Mathematics, 2021
Graph theory has provided a very useful tool, called topological index, which is a number from the graph M with the property that every graph N isomorphic to M value of a topological index must be same for both M and N.
Muhammad Irfan, Hamood Ur Rehman, Hassan Almusawa, Saffina Rasheed, Imran Abbas Baloch   +4 more
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Computation of eccentric topological indices of zero-divisor graphs based on their edges

AIMS Mathematics, 2022
The topological index of a graph gives its topological property that remains invariant up to graph automorphism. The topological indices which are based on the eccentricity of a chemical graph are molecular descriptors that remain constant in the whole ...
Ali N. A. Koam, Ali Ahmad , Azeem Haider, Moin A. Ansari   +3 more
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GTI-space : the space of generalized topological indices [PDF]

, 2008
A new extension of the generalized topological indices (GTI) approach is carried out torepresent 'simple' and 'composite' topological indices (TIs) in an unified way.
A.R Matamala, A.R Matamala, A.T Balaban, Adelio R. Matamala, B Zhou, D. Plavšić, D.J Klein, D.J Klein, D.J Klein, E Estrada, E Estrada, E. Estrada, E. Estrada, E. Estrada, E. Estrada, E. Estrada, Ernesto Estrada, G.G Cash, H Wiener, H.P Schultz, H.P Schultz, I Gutman, I Gutman, I Gutman, I Gutman, J. Gálvez, J. Gálvez, J.R Votano, M. Randić, M. Randić, O Ivanciuc, R Todeschini, R.F Brown, W.R. Müller, Z. Mihalić   +34 more
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