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arXiv · 1506.03343

Consistent random vertex-orderings of graphs

Paul Balister·Béla Bollobás·Svante Janson
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Abstract

Given a hereditary graph property $\mathcal{P}$, consider distributions of random orderings of vertices of graphs $G\in\mathcal{P}$ that are preserved under isomorphisms and under taking induced subgraphs. We show that for many properties $\mathcal{P}$ the only such random orderings are uniform, and give some examples of non-uniform orderings when they exist.

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Paul Balister, Béla Bollobás, Svante Janson. 2015-06-10. Consistent random vertex-orderings of graphs. https://arxiv.org/abs/1506.03343

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