3 years ago

Finding induced subgraphs in scale-free inhomogeneous random graphs.

Johan S.H. van Leeuwaarden, Clara Stegehuis, Ellen Cardinaels

We study the induced subgraph isomorphism problem on inhomogeneous random graphs with infinite variance power-law degrees. We provide a fast algorithm that determines for any connected graph $H$ on $k$ vertices if it exists as induced subgraph in a random graph with $n$ vertices. By exploiting the scale-free graph structure, the algorithm runs in $O(n e^{k^4})$ time, and finds for constant $k$ an instance of $H$ in linear time with high probability.

Publisher URL: http://arxiv.org/abs/1801.08293

DOI: arXiv:1801.08293v1

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