Results 21 to 30 of about 107,031 (264)
On p-covalenced association schemes
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Mitsugu Hirasaka, Kyoung-Tark Kim
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On association schemes with commutative thin thin residue [PDF]
The main result of this paper gives a characterization of association schemes having commutative thin thin residue. This gives a generalization of Ito's Theorem on finite groups for association schemes.
Javad Bagherian
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Implementing intelligent reflecting surfaces (IRSs), in high frequency based beyond 5G networks, has become a necessity to overcome the harsh blockage issues that exist in these bands.
Ahmed M. Nor +2 more
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On Quasi-thin Association Schemes
An association scheme is called quasi-thin if each of its basic relations has valency 1 or 2. In this paper three sufficient conditions for a quasi-thin scheme \((X,R)\) to have an automorphism group acting transitively on \(X\) are obtained: (i) \(O^\theta(R)\cap O_\theta(R)=\{1\}\) (Lemma 4.1), (ii) \(n_{O^\theta(R)}=2\) (Theorem 4.4), and (iii) \(R\)
Mitsugu Hirasaka, Mikhail E. Muzychuk
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Uniform Mixing and Association Schemes
We consider continuous-time quantum walks on distance-regular graphs. Using results about the existence of complex Hadamard matrices in association schemes, we determine which of these graphs have quantum walks that admit uniform mixing.First we apply a result due to Chan to show that the only strongly regular graphs that admit instantaneous uniform ...
Chris D. Godsil +2 more
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A Four-Class Association Scheme
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Gary L. Ebert +3 more
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Butson-type complex Hadamard matrices and association schemes on Galois rings of characteristic 4
We consider nonsymmetric hermitian complex Hadamard matrices belonging to the Bose-Mesner algebra of commutative nonsymmetric association schemes. First, we give a characterization of the eigenmatrix of a commutative nonsymmetric association scheme of ...
Ikuta Takuya, Munemasa Akihiro
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Beyond fifth-generation (5G) heterogeneous networks (HetNets) are facing the challenge of accommodating enormous mobile users and data traffic with scarce spectrum resources in the microWave ( $\mu $ Wave) band.
Humayun Zubair Khan +5 more
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On the Connectivity of Graphs in Association Schemes
Let $(X,\mathcal{R})$ be a commutative association scheme and let $\Gamma=(X,R\cup R^\top)$ be a connected undirected graph where $R\in \mathcal{R}$. Godsil (resp., Brouwer) conjectured that the edge connectivity (resp., vertex connectivity) of $\Gamma$ is equal to its valency.
Brian G. Kodalen, William J. Martin
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Resource Optimized Federated Learning-Enabled Cognitive Internet of Things for Smart Industries
Leveraging the cognitive Internet of things (C-IoT), emerging computing technologies, and machine learning schemes for industries can assist in streamlining manufacturing processes, revolutionizing operational analytics, and maintaining factory ...
Latif U. Khan +5 more
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