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arXiv · 1101.5211

The Weisfeiler-Lehman Method and Graph Isomorphism Testing

B. L. Douglas
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Abstract

Properties of the `$k$-equivalent' graph families constructed in Cai, Fürer and Immerman, and Evdokimov and Ponomarenko are analysed relative the the recursive $k$-dim WL method. An extension to the recursive $k$-dim WL method is presented that is shown to efficiently characterise all such types of `counterexample' graphs, under certain assumptions. These assumptions are shown to hold in all known cases.

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B. L. Douglas. 2011-01-27. The Weisfeiler-Lehman Method and Graph Isomorphism Testing. https://arxiv.org/abs/1101.5211

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