An Lp theory of sparse graph convergence I: Limits, sparse random graph models, and power law distributions

We introduce and develop a theory of limits for sequences of sparsegraphs based on Lp graphons, which generalizes both the existing L∞ theory ofdense graph limits and its extension by Bollob ́as and Riordan to sparse graphswithout dense spots. In doing so, we replace the no dense spots hypothesiswit...

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Bibliographic Details
Main Authors: Borgs, Christian, Chayes, Jennifer, Cohn, Henry, Zhao, Yufei
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: American Mathematical Society (AMS) 2020
Online Access:https://hdl.handle.net/1721.1/126184