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Paper detail

Nowhere dense graph classes, stability, and the independence property

A class of graphs is nowhere dense if for every integer r there is a finite upper bound on the size of cliques that occur as (topological) r-minors. We observe that this tameness notion from algorithmic graph theory is essentially the earlier stability theoretic notion of superflatness. For subgraph-closed classes of graphs we prove equivalence to stability and to not having the independence property.

preprint2010arXivOpen access
Hans AdlerIsolde Adler
Logic in Computer Sciencemath.LODiscrete Mathematics
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Hans AdlerIsolde Adler

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