Kunszenti-Kovács, Dávid and Lovász, László and Szegedy, Balázs (2019) Measures on the square as sparse graph limits. JOURNAL OF COMBINATORIAL THEORY SERIES B, 138. pp. 1-40. ISSN 0095-8956
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Official URL: https://doi.org/10.1016/j.jctb.2019.01.004
Abstract
We study a metric on the set of finite graphs in which two graphs are considered to be similar if they have similar bounded dimensional "factors". We show that limits of convergent graph sequences in this metric can be represented by symmetric Borel measures on [0, 1](2). This leads to a generalization of dense graph limit theory to sparse graph sequences.
| Item Type: | Article |
|---|---|
| Subjects: | Q Science / természettudomány > QA Mathematics / matematika |
| SWORD Depositor: | MTMT SWORD |
| Depositing User: | MTMT SWORD |
| Date Deposited: | 20 Feb 2023 10:14 |
| Last Modified: | 20 Feb 2023 10:15 |
| URI: | http://real.mtak.hu/id/eprint/159448 |
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