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- W3136296313 abstract "Accessibility, robustness, and connectivity are the salient structural properties of networks. The labelling of networks with numeric numbers using the parameters of edge or vertex weights plays an eminent role in the study of the aforesaid properties. The systems interlinked in a network are transformed into a graphical network, and specific numeric labels assigned to the converted network under certain rules assist us in the regulation of data traffic, bandwidth, and coding/decoding of signals. Two major classes of such network labellings are magic and antimagic. The notion of super <math xmlns=http://www.w3.org/1998/Math/MathML id=M1><mfenced open=( close=) separators=|><mrow><mi>a</mi><mo>,</mo><mn>0</mn></mrow></mfenced></math> edge-antimagic labelling on networks was identified in the late nineties. The present article addresses super <math xmlns=http://www.w3.org/1998/Math/MathML id=M2><mfenced open=( close=) separators=|><mrow><mi>a</mi><mo>,</mo><mn>0</mn></mrow></mfenced></math> edge antimagicness of union of the networks’ star <math xmlns=http://www.w3.org/1998/Math/MathML id=M3><msub><mrow><mi>S</mi></mrow><mrow><mi>n</mi></mrow></msub></math> , the path <math xmlns=http://www.w3.org/1998/Math/MathML id=M4><msub><mrow><mi>P</mi></mrow><mrow><mi>n</mi></mrow></msub></math> , and copies of paths and the rooted product of cycle <math xmlns=http://www.w3.org/1998/Math/MathML id=M5><msub><mrow><mi>C</mi></mrow><mrow><mi>n</mi></mrow></msub></math> with <math xmlns=http://www.w3.org/1998/Math/MathML id=M6><msub><mrow><mi>K</mi></mrow><mrow><mn>2</mn><mo>,</mo><mi>m</mi></mrow></msub></math> . We also provide super <math xmlns=http://www.w3.org/1998/Math/MathML id=M7><mfenced open=( close=) separators=|><mrow><mi>a</mi><mo>,</mo><mn>0</mn></mrow></mfenced></math> edge-antimagic labelling of the rooted product of cycle <math xmlns=http://www.w3.org/1998/Math/MathML id=M8><msub><mrow><mi>C</mi></mrow><mrow><mi>n</mi></mrow></msub></math> and planar pancyclic networks. Further, we design a super <math xmlns=http://www.w3.org/1998/Math/MathML id=M9><mfenced open=( close=) separators=|><mrow><mi>a</mi><mo>,</mo><mn>0</mn></mrow></mfenced></math> edge-antimagic labelling on a pancyclic network containing chains of <math xmlns=http://www.w3.org/1998/Math/MathML id=M10><msub><mrow><mi>C</mi></mrow><mrow><mn>6</mn></mrow></msub></math> and three different symmetrically designed lattices. Moreover, our findings have also been recapitulated in the shape of 3- <math xmlns=http://www.w3.org/1998/Math/MathML id=M11><mi>D</mi></math> plots and tables." @default.
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- W3136296313 date "2021-03-19" @default.
- W3136296313 modified "2023-10-07" @default.
- W3136296313 title "Computing Edge Weights of Symmetric Classes of Networks" @default.
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- W3136296313 doi "https://doi.org/10.1155/2021/5562544" @default.
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