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• W4200569480 abstract "As power grids and optical interconnection networks are interdependent, the reliabilities of the optical networks are critical issues in power systems. The optical networks hold prominent performance including wide bandwidth, low loss, strong anti-interference capability, high fidelity, and reliable performance. They are regarded as promising alternatives to electrical networks for parallel processing. This paper is aimed at taking the first step in understanding the communication efficiencies of optical networks. For that purpose, on optical networks, we propose a series of novel notions including communication pattern, <math xmlns=http://www.w3.org/1998/Math/MathML id=M2> <mi>r</mi> </math> -communication graph, reduced diameter, enhanced connectivity, <math xmlns=http://www.w3.org/1998/Math/MathML id=M3> <mi>r</mi> </math> -diameter, and <math xmlns=http://www.w3.org/1998/Math/MathML id=M4> <mi>r</mi> </math> -connectivity. Using these notions, we determine that the <math xmlns=http://www.w3.org/1998/Math/MathML id=M5> <mi>r</mi> </math> -diameter and <math xmlns=http://www.w3.org/1998/Math/MathML id=M6> <mi>r</mi> </math> -connectivity of the optical <math xmlns=http://www.w3.org/1998/Math/MathML id=M7> <mi>n</mi> </math> -dimensional hypercube network are <math xmlns=http://www.w3.org/1998/Math/MathML id=M8> <mfenced open=⌈ close=⌉> <mrow> <mi>n</mi> <mo>/</mo> <mi>r</mi> </mrow> </mfenced> </math> and <math xmlns=http://www.w3.org/1998/Math/MathML id=M9> <mfenced open=( close=)> <mrow> <mtable> <mtr> <mtd> <mi>n</mi> </mtd> </mtr> <mtr> <mtd> <mn>1</mn> </mtd> </mtr> </mtable> </mrow> </mfenced> <mo>+</mo> <mfenced open=( close=)> <mrow> <mtable> <mtr> <mtd> <mi>n</mi> </mtd> </mtr> <mtr> <mtd> <mn>2</mn> </mtd> </mtr> </mtable> </mrow> </mfenced> <mo>+</mo> <mo>⋯</mo> <mo>+</mo> <mfenced open=( close=)> <mrow> <mtable> <mtr> <mtd> <mi>n</mi> </mtd> </mtr> <mtr> <mtd> <mi>r</mi> </mtd> </mtr> </mtable> </mrow> </mfenced> </math> , respectively. Since the parameter <math xmlns=http://www.w3.org/1998/Math/MathML id=M10> <mi>r</mi> </math> is variable, we can adjust different values of <math xmlns=http://www.w3.org/1998/Math/MathML id=M11> <mi>r</mi> </math> on the basis of the wavelength resources and load of the optical networks, achieving enhanced communication efficiencies of these networks. Compared with the electric <math xmlns=http://www.w3.org/1998/Math/MathML id=M12> <mi>n</mi> </math> -dimensional hypercube network, the proposed communication pattern on the optical hypercube network not only reduces the maximum communication delay of the conventional electrical hypercube significantly but also improves its fault tolerance remarkably." @default.
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• W4200569480 date "2021-12-20" @default.
• W4200569480 modified "2023-10-16" @default.
• W4200569480 title "Fault Tolerance of Optical Hypercube Interconnection Networks with r -Communication Pattern" @default.
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• W4200569480 doi "https://doi.org/10.1155/2021/5358760" @default.
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