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Fractional isomorphism of graphons
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Grebík, Jan and Rocha, Israel (2022) Fractional isomorphism of graphons. Combinatorica, 42 . pp. 365-404. doi:10.1007/s00493-021-4336-9 ISSN 0209-9683.
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Official URL: http://dx.doi.org/10.1007/s00493-021-4336-9
Abstract
We work out the theory of fractional isomorphism of graphons as a generalization to the classical theory of fractional isomorphism of finite graphs. The generalization is given in terms of homomorphism densities of finite trees and it is characterized in terms of distributions on iterated degree measures, Markov operators, weak isomorphism of a conditional expectation with respect to invariant sub-σ-algebras and isomorphism of certain quotients of given graphons.
| Item Type: | Journal Article | |||||||||||||||
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| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||||||||
| Journal or Publication Title: | Combinatorica | |||||||||||||||
| Publisher: | Springer | |||||||||||||||
| ISSN: | 0209-9683 | |||||||||||||||
| Official Date: | June 2022 | |||||||||||||||
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| Volume: | 42 | |||||||||||||||
| Number of Pages: | 40 | |||||||||||||||
| Page Range: | pp. 365-404 | |||||||||||||||
| DOI: | 10.1007/s00493-021-4336-9 | |||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||
| Publication Status: | Published | |||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||
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| Open Access Version: |
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