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• W4313644012 abstract "In this paper, we propose the ( <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$alpha ,beta ,eta$</tex-math></inline-formula> )-core model, which is the first cohesive subgraph model on uncertain bipartite graphs. To capture the uncertainty of relationships/edges, <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$eta$</tex-math></inline-formula> -degree is adopted to measure the vertex engagement level, which is the largest integer <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$k$</tex-math></inline-formula> such that the probability of a vertex having at least <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$k$</tex-math></inline-formula> neighbors is not less than <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$eta$</tex-math></inline-formula> . Given degree constraints <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$alpha$</tex-math></inline-formula> and <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$beta$</tex-math></inline-formula> , and a probability threshold <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$eta$</tex-math></inline-formula> , the ( <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$alpha ,beta ,eta$</tex-math></inline-formula> )-core requires that each vertex on the upper or lower level have <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$eta$</tex-math></inline-formula> -degree no less than <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$alpha$</tex-math></inline-formula> or <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$beta$</tex-math></inline-formula> , respectively. An ( <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$alpha ,beta ,eta$</tex-math></inline-formula> )-core can be obtained by iteratively removing the vertices with <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$eta$</tex-math></inline-formula> -degrees below the degree constraints. Apart from the online computation algorithm, we propose a probability-aware index to strike a balance between time and space costs. To efficiently build such an index, we design a top-down index construction algorithm to allow computation sharing. Then, we show how to parallelize our query algorithms and index construction algorithms. In addition, we study community search on uncertain bipartite graphs by adopting the ( <inline-formula xmlns:mml=http://www.w3.org/1998/Math/MathML xmlns:xlink=http://www.w3.org/1999/xlink><tex-math notation=LaTeX>$alpha ,beta ,eta$</tex-math></inline-formula> )-core model. Extensive experiments are conducted on 13 datasets to validate the efficiency and effectiveness of our proposed techniques." @default.
• W4313644012 created "2023-01-07" @default.
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• W4313644012 date "2023-11-01" @default.
• W4313644012 modified "2023-10-10" @default.
• W4313644012 title "Cohesive Subgraph Discovery over Uncertain Bipartite Graphs" @default.
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• W4313644012 doi "https://doi.org/10.1109/tkde.2023.3234567" @default.
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