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Cut distance identifying graphon parameters over weak* limits
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Dolezal, Martin, Grebík, Jan, Hladký, Jan, Rocha, Israel and Rozhoň, Václav (2022) Cut distance identifying graphon parameters over weak* limits. Journal of Combinatorial Theory, Series A, 189 . 105615. doi:10.1016/j.jcta.2022.105615 ISSN 0097-3165.
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Official URL: http://doi.org/10.1016/j.jcta.2022.105615
Abstract
The theory of graphons comes with the so-called cut norm and the derived cut distance. The cut norm is finer than the weak* topology (when considering the predual of -functions). Doležal and Hladký ((2019) [13]) showed, that given a sequence of graphons, a cut distance accumulation graphon can be pinpointed in the set of weak* accumulation points as a minimizer of the entropy. Motivated by this, we study graphon parameters with the property that their minimizers or maximizers identify cut distance accumulation points over the set of weak* accumulation points. We call such parameters cut distance identifying.
| Item Type: | Journal Article | |||||||||||||||
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| Subjects: | Q Science > QA Mathematics | |||||||||||||||
| Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | |||||||||||||||
| Library of Congress Subject Headings (LCSH): | Graph theory , Convergence, Parameter estimation | |||||||||||||||
| Journal or Publication Title: | Journal of Combinatorial Theory, Series A | |||||||||||||||
| Publisher: | Elsevier BV | |||||||||||||||
| ISSN: | 0097-3165 | |||||||||||||||
| Official Date: | July 2022 | |||||||||||||||
| Dates: |
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| Volume: | 189 | |||||||||||||||
| Article Number: | 105615 | |||||||||||||||
| DOI: | 10.1016/j.jcta.2022.105615 | |||||||||||||||
| Status: | Peer Reviewed | |||||||||||||||
| Publication Status: | Published | |||||||||||||||
| Access rights to Published version: | Restricted or Subscription Access | |||||||||||||||
| Date of first compliant deposit: | 4 April 2023 | |||||||||||||||
| RIOXX Funder/Project Grant: |
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