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- W4205123033 abstract "Trapping processes are a kind of random walks which have wide range of applications. Controlling and optimizing the trapping (transport) efficiency has been a hot topic in the past several years. In this work, we study how to improve the trapping (transport) efficiency in regular branched networks, also known as Cayley trees, by analyzing biased random walks on a family of weighted Cayley trees whose edges weights are dominated by a parameter <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$r$</tex-math></inline-formula> ( <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$r>0$</tex-math></inline-formula> ). Firstly, a method to calculate the quantities for measuring the trapping efficiency on general weighted networks is presented. Then the trapping efficiencies in regular branched networks are evaluated analytically and optimized with respect to parameter <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$r$</tex-math></inline-formula> . Three different scenarios, with respect to the location distribution of the trap, are considered, and optimal parameter <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$r$</tex-math></inline-formula> , where highest trapping efficiency can be achieved, are obtained." @default.
- W4205123033 created "2022-01-26" @default.
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- W4205123033 date "2022-05-01" @default.
- W4205123033 modified "2023-09-30" @default.
- W4205123033 title "Optimizing the Trapping (Transport) Efficiency in Regular Branched Networks" @default.
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- W4205123033 doi "https://doi.org/10.1109/tnse.2022.3140213" @default.
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