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Akademický článek

Normalized Laplacian Spectrum of Some Q-Coronas of Two Regular Graphs

Publikováno v: Discussiones Mathematicae - General Algebra and Applications, Vol 41, Iss 1, Pp 127-138 (2021)

In this paper we determine the normalized Laplacian spectrum of the Q-vertex corona, Q-edge corona, Q-vertex neighborhood corona, and Q-edge neighborhood corona of a connected regular graph with an arbitrary regular graph in terms of normalized Lapla

Externí odkaz: https://doaj.org/article/2cdf1ed72f6c49afbad48fc1df3e166a

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Automatic Scene Generation: State-of-the-Art Techniques, Models, Datasets, Challenges, and Future Prospects

Autor: Fime, Awal Ahmed, Mahmud, Saifuddin, Das, Arpita, Islam, Md. Sunzidul, Kim, Hong-Hoon

Automatic scene generation is an essential area of research with applications in robotics, recreation, visual representation, training and simulation, education, and more. This survey provides a comprehensive review of the current state-of-the-arts i

Externí odkaz: http://arxiv.org/abs/2410.01816

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Akademický článek

Spectra of R-Vertex Join and R-Edge Join of Two Graphs

Autor: Das Arpita, Panigrahi Pratima

Publikováno v: Discussiones Mathematicae - General Algebra and Applications, Vol 38, Iss 1, Pp 19-32 (2018)

The R-graph R(G) of a graph G is the graph obtained from G by intro- ducing a new vertex ue for each e ∈ E(G) and making ue adjacent to both the end vertices of e. In this paper, we determine the adjacency, Lapla- cian and signless Laplacian spectr

Externí odkaz: https://doaj.org/article/bb3bdfb69b1c49b8b96d473d2ada3939

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Bose-Einstein condensation of non-ground-state caesium atoms

Autor: Horvath, Milena, Dhar, Sudipta, Das, Arpita, Frye, Matthew D., Guo, Yanliang, Hutson, Jeremy M., Landini, Manuele, Nägerl, Hanns-Christoph

Bose-Einstein condensates of ultracold atoms serve as low-entropy sources for a multitude of quantum-science applications, ranging from quantum simulation and quantum many-body physics to proof-of-principle experiments in quantum metrology and quantu

Externí odkaz: http://arxiv.org/abs/2310.12025

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Adjacency spectra of some subdivision hypergraphs

Autor: Banerjee, Anirban, Das, Arpita

Here, we define a subdivision operation for a hypergraph and compute all the eigenvalues of the subdivision of regular and certain non-regular hypergraphs. In non-regular hypergraphs, we investigate the power of regular graphs, various types of hyper

Externí odkaz: http://arxiv.org/abs/2307.13289

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An association sequence suitable for producing ground-state RbCs molecules in optical lattices

Autor: Das, Arpita, Gregory, Philip D., Takekoshi, Tetsu, Fernley, Luke, Landini, Manuele, Hutson, Jeremy M., Cornish, Simon L., Nägerl, Hanns-Christoph

We identify a route for the production of $^{87}$Rb$^{133}$Cs molecules in the $\textrm{X} \, ^1\Sigma^+$ rovibronic ground state that is compatible with efficient mixing of the atoms in optical lattices. We first construct a model for the excited-st

Externí odkaz: http://arxiv.org/abs/2303.16144

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