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Keyword: graph limits ×Clear all

1 claim from 1 paper

1. Mathematics › Limits and Structures in Graph Theory

   An $L^p$ theory of sparse graph convergence I: limits, sparse random graph models, and power law distributions

   Borgs, Chayes, Cohn and Zhao · DSpace@MIT (Massachusetts Institute of Technology) · 2014

   The paper builds a limit theory for sparse graph sequences using L^p graphons, generalising dense-graph limits and Bollobás and Riordan's sparse extension, and covering power law degree distributions.

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   1. UncheckedThe authors say their L^p graphon theory is the first broadly applicable limit theory for sparse graphs whose average degree is unbounded.“This gives the first broadly applicable limit theory for sparse graphs with unbounded average degrees.”