Results 21 to 30 of about 51,997 (309)
Colloquium : disclination loops, point defects, and all that in nematic liquid crystals [PDF]
, 2012 The homotopy theory of topological defects is a powerful tool for organizing and unifying many ideas across a broad range of physical systems. Recently, experimental progress was made in controlling and measuring colloidal inclusions in liquid ...
Kamien, Randall +5 more
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Entire forgotten topological index of graphs [PDF]
, 2020 The Forgotten topological index or F-index is defined as the sum of cubes of the degrees of vertices of a graph. For this classical F-index, we ignore the intermolecular forces that exist between the atoms and bonds and consider only the intermolecular ...
Buragohain, Jibonjyoti +2 more
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A Comparison of the Schultz Molecular Topological Index with the Wiener Index [PDF]
Journal of Chemical Information and Computer Sciences, 1996 The Schultz molecular topological index (MTI) is compared with the Wiener index (W) of a molecular graph.
Sandi Klavzar, Ivan Gutman
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Smarandache-Zagreb Index on Three Graph Operators [PDF]
, 2010 Many researchers have studied several operators on a connected graph in which one make an attempt on subdivision of its edges. In this paper, we show how the Zagreb indices, a particular case of Smarandache-Zagreb index of a graph changes with these ...
Ranjini, P.S., Lokesha, V.
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Green index in semigroups : generators, presentations and automatic structures [PDF]
, 2012 The Green index of a subsemigroup T of a semigroup S is given by counting strong orbits in the complement S n T under the natural actions of T on S via right and left multiplication.
Ruskuc, Nik +4 more
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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
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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
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Topological dynamics indexed by words
Topology and its Applications, 2012 20 ...
Farmaki, V., Koutsogiannis, A.
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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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On the topology and index of minimal surfaces II
Journal of Differential Geometry, 2023 For an immersed minimal surface in $\mathbb{R}^3$, we show that there exists a lower bound on its Morse index that depends on the genus and number of ends, counting multiplicity. This improves, in several ways, an estimate we previously obtained bounding the genus and number of ends by the index. Our new estimate resolves several conjectures made by J.
Chodosh, Otis, Maximo, Davi
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