I've been pondering a lot about this whole citation business. Does anyone here have ideas on how one would measure the quality of different citations? Objective answers only, of course.
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In essence, you want to weigh citations higher that come from papers that are themselves "important" in some way. If you think of papers as nodes of graphs and citations as (directed) edges, then you are asking questions such as the "centrality" of a node in that graph.
In some sense, this is also related to the PageRank algorithm google uses/used to use: They also want to rank pages higher that don't just have lots of links to them, but links from other important pages.
Wolfgang Bangerth
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What method do you think is most relevant today for measuring importance of citations in a graph network? Von Neumann, HITS? – tomjonesthethird Jun 25 '21 at 01:39
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I don't know. There are many centrality definitions in graph theory and the community does not seem to have come to a conclusion which is "the right" one to consider. – Wolfgang Bangerth Jun 26 '21 at 04:31
The goal would be to give rewards based on citations over time to the creators of research, and I'm wondering how to sort for quality.
– tomjonesthethird Jun 23 '21 at 06:29