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- W1970138544 abstract "We investigate families of graphs and graphons (graph limits) that are determined by a finite number of prescribed subgraph densities. Our main focus is the case when the family contains only one element, i.e., a unique structure is forced by finitely many subgraph densities. Generalizing results of Turán, Erdős–Simonovits and Chung–Graham–Wilson, we construct numerous finitely forcible graphons. Most of these fall into two categories: one type has an algebraic structure and the other type has an iterated (fractal-like) structure. We also give some necessary conditions for forcibility, which imply that finitely forcible graphons are “rare”, and exhibit simple and explicit non-forcible graphons." @default.
- W1970138544 created "2016-06-24" @default.
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- W1970138544 date "2011-09-01" @default.
- W1970138544 modified "2023-09-29" @default.
- W1970138544 title "Finitely forcible graphons" @default.
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- W1970138544 doi "https://doi.org/10.1016/j.jctb.2011.03.005" @default.
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