@book{MTMT:2588739, title = {Large networks and graph limits}, url = {https://m2.mtmt.hu/api/publication/2588739}, isbn = {9780821890851}, author = {Lovász, László}, publisher = {AMS}, unique-id = {2588739}, year = {2012}, orcid-numbers = {Lovász, László/0000-0001-6596-0465} } @article{MTMT:1086784, title = {Limits of Dense Graph Sequences}, url = {https://m2.mtmt.hu/api/publication/1086784}, author = {Lovász, László and Szegedy, Balázs}, doi = {10.1016/j.jctb.2006.05.002}, journal-iso = {J COMB THEORY B}, journal = {JOURNAL OF COMBINATORIAL THEORY SERIES B}, volume = {96}, unique-id = {1086784}, issn = {0095-8956}, abstract = {We show that if a sequence of dense graphs G, has the property that for every fixed graph F, the density of copies of F in G, tends to a limit, then there is a natural "limit object," namely a symmetric measurable function W: [0, 1](2) ->. [0, 1]. This limit object determines all the limits of subgraph densities. Conversely, every such function arises as a limit object. We also characterize graph parameters that are obtained as limits of subgraph densities by the "reflection positivity" property. Along the way we introduce a rather general model of random graphs, which seems to be interesting on its own right. (c) 2006 Elsevier Inc. All rights reserved.}, keywords = {Quasirandom graph; convergent graph sequence; LIMIT; graph homomorphism}, year = {2006}, eissn = {1096-0902}, pages = {933-957}, orcid-numbers = {Lovász, László/0000-0001-6596-0465; Szegedy, Balázs/0009-0009-6682-3361} }