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Transactions of the American Mathematical SocietyΒ· 2018Q1

An 𝐿^{𝑝} theory of sparse graph convergence I: Limits, sparse random graph models, and power law distributions

Christian Borgs, Jennifer Chayes, Henry Cohn, Yufei Zhao

Short summary

A new L^p theory of graphons is introduced, enabling the analysis of sparse graphs with power law degree distributions, a first for graphs with unbounded average degrees.

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Field: Discrete Mathematics and Combinatorics

Discrete Mathematics and CombinatoricsMathematics