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- W2963779253 abstract "Given a graph property $mathcal{P}$, it is interesting to determine the typical structure of graphs that satisfy $mathcal{P}$. In this paper, we consider monotone properties, that is, properties that are closed under taking subgraphs. Using results from the theory of graph limits, we show that if $mathcal{P}$ is a monotone property and $r$ is the largest integer for which every $r$-colorable graph satisfies $mathcal{P}$, then almost every graph with $mathcal{P}$ is close to being a balanced $r$-partite graph." @default.
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- W2963779253 date "2014-08-28" @default.
- W2963779253 modified "2023-09-25" @default.
- W2963779253 title "On the Typical Structure of Graphs in a Monotone Property" @default.
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- W2963779253 doi "https://doi.org/10.37236/4266" @default.
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