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Fractional Isomorphism of Graphons

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    0557940 - ÚI 2023 RIV HU eng J - Journal Article
    Grebík, J. - Rocha, Israel
    Fractional Isomorphism of Graphons.
    Combinatorica. Roč. 42, č. 3 (2022), s. 365-404. ISSN 0209-9683. E-ISSN 1439-6912
    R&D Projects: GA ČR GJ16-07822Y; GA ČR(CZ) GA19-08740S
    Institutional support: RVO:67985807
    Keywords : graph limits * graphons * fractional isomorphism
    OECD category: Pure mathematics
    Impact factor: 1.1, year: 2022
    Method of publishing: Limited access
    https://dx.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.
    Permanent Link: http://hdl.handle.net/11104/0331825

     
     
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