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I recently read a paper on community detection in networks. In the paper EdMot: An Edge Enhancement Approach for Motif-aware Community Detection, the authors consider the "lower-order structure" of the network at the level of individual nodes and edges. And they mentioning about some "higher-order structure" method. The point is, what is the exact meaning (definition) of lower- and higher-order structure in a network?

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    $\begingroup$ Welcome to SE:AI! $\endgroup$ – DukeZhou Oct 4 at 23:10

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