Results 31 to 40 of about 150,131 (321)

On Computation of Recently Defined Degree-Based Topological Indices of Some Families of Convex Polytopes via M-Polynomial

Complexity, 2021
Topological indices are of incredible significance in the field of graph theory. Convex polytopes play a significant role both in various branches of mathematics and also in applied areas, most notably in linear programming.
Deeba Afzal, Farkhanda Afzal, Mohammad Reza Farahani, Samia Ali   +3 more
doaj   +1 more source

Several Topological Indices of Random Caterpillars [PDF]

Methodology and Computing in Applied Probability, 2021
In chemical graph theory, caterpillar trees have been an appealing model to represent the molecular structures of benzenoid hydrocarbon. Meanwhile, topological index has been thought of as a powerful tool for modeling quantitative structure-property relationship and quantitative structure-activity between molecules in chemical compounds.
Panpan Zhang, Xiaojing Wang
openaire   +3 more sources

On a Z_3-Graded Generalization of the Witten Index [PDF]

, 2001
We construct a realization of the algebra of the Z_3-graded topological symmetry of type (1,1,1) in terms of a pair of operators D_1: H_1 -> H_2, and D_2: H_2 -> H_3 satisfying [D_1D_1^\dagger,D_2^\dagger D_2]=0.
Aghababaei Samani, Ahn, Ali Mostafazadeh, Alvarez-Gaumé, Alvarez-Gaumé, Baulieu, de Azćarraga, Dunne, Durand, Durand, Durand, Filippov, Fleury, Kerner, Mohammedi, Mostafazadeh, Mostafazadeh, Palais, Windey, Witten   +19 more
core   +2 more sources

Topological indices for nanoclusters [PDF]

Computational Materials Science, 2015
Abstract Nanoclusters create the possibility of designing novel properties and devices based on finite structures, with small dimensions. Clusters are of interest for catalytic, optical, biochemical, and structural characteristics. We examine clusters of icosahedral, cuboctahedral, and decahedral symmetry.
Kaatz, Forrest, Bultheel, Adhemar
openaire   +1 more source

Majorana bound state of a Bogoliubov-de Gennes-Dirac Hamiltonian in arbitrary dimensions [PDF]

, 2011
We study a Majorana zero-energy state bound to a hedgehog-like point defect in a topological superconductor described by a Bogoliubov-de Gennes (BdG)-Dirac type effective Hamiltonian. We first give an explicit wave function of a Majorana state by solving
Fujiwara, Takanori, Fukui, Takahiro, Imura, Ken-Ichiro   +2 more
core   +2 more sources

On analysis of silicon dioxide based on topological indices and entropy measure via regression model. [PDF]

Sci Rep
Huang R, Hanif MF, Siddiqui MK, Hanif MF, Gegbe B.   +4 more
europepmc   +3 more sources

Statistical-Mechanical Theory of Topological Indices

SSRN Electronic Journal, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

Study of Neighborhood Degree-Based Topological Indices via Direct and NM-Polynomial of Starphene Graph

Journal of Function Spaces, 2022
Our objective is to compute the neighborhood degree-based topological indices via NM-polynomial for starphene. In the neighborhood degree-based topological indices, we compute the third version of the Zagreb index; neighborhood second Zagreb index ...
Deeba Afzal, Saira Hameed, Usman Ashraf, Arif Mehmood, Faryal Chaudhry, Dhan Kumari Thapa   +5 more
doaj   +1 more source

Sombor topological indices for different nanostructures

Heliyon, 2023
La geometría euclidiana se utiliza para establecer el parámetro del gráfico de Sombor y sus invariantes. Es la suma de todos los vértices adyacentes en la teoría de grafos d? 2+ d? 2 donde d? es el grado del vértice?. La interpretación geométrica se utiliza para describir los nuevos tipos de índices de Sombor.
Muhammad Imran, Rashad Ismail, Muhammad Azeem, Muhammad Kamran Jamil, Esmail Hassan Abdullatif Al-Sabri   +4 more
openaire   +3 more sources

Topological Descriptors of M-Carbon Mr,s,t

Journal of Chemistry, 2021
We have studied topological indices of the one the hardest crystal structures in a given chemical system, namely, M-carbon. These structures are based and obtained by the famous algorithm USPEX. The computations and applications of topological indices in
Hong Yang, Muhammad Naeem
doaj   +1 more source