0557940 - ÚI 2023 RIV HU eng J - Článek v odborném periodiku
Grebík, J. - Rocha, Israel
Fractional Isomorphism of Graphons.
Combinatorica. Roč. 42, č. 3 (2022), s. 365-404. ISSN 0209-9683. E-ISSN 1439-6912
Grant CEP: GA ČR GJ16-07822Y; GA ČR(CZ) GA19-08740S
Institucionální podpora: RVO:67985807
Klíčová slova: graph limits * graphons * fractional isomorphism
Obor OECD: Pure mathematics
Impakt faktor: 1.1, rok: 2022 ; AIS: 1.277, rok: 2022
Způsob publikování: Omezený přístup
Web výsledku:
https://dx.doi.org/10.1007/s00493-021-4336-9DOI: https://doi.org/10.1007/s00493-021-4336-9

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-sigma-algebras and isomorphism of certain quotients of given graphons.
Trvalý link: http://hdl.handle.net/11104/0331825