Graph limits: An alternative approach to s-graphons

0548748 - MÚ 2023 RIV US eng J - Článek v odborném periodiku
Doležal, Martin
Graph limits: An alternative approach to s-graphons.
Journal of Graph Theory. Roč. 99, č. 1 (2022), s. 90-106. ISSN 0364-9024. E-ISSN 1097-0118
Grant CEP: GA ČR(CZ) GJ18-01472Y
Institucionální podpora: RVO:67985840
Klíčová slova: graph limits * s-convergence
Obor OECD: Pure mathematics
Impakt faktor: 0.9, rok: 2022
Způsob publikování: Omezený přístup
https://doi.org/10.1002/jgt.22728

We show that s-convergence of graph sequences is equivalent to the convergence of certain compact sets, called shapes, of Borel probability measures. This result is analogous to the characterization of graphon convergence (with respect to the cut distance) by the convergence of envelopes, due to Doležal, Grebík, Hladký, Rocha, and Rozhoň.
Trvalý link: http://hdl.handle.net/11104/0324815