English

The Weisfeiler-Lehman Method and Graph Isomorphism Testing

Combinatorics 2011-01-28 v1

Abstract

Properties of the `kk-equivalent' graph families constructed in Cai, F\"{u}rer and Immerman, and Evdokimov and Ponomarenko are analysed relative the the recursive kk-dim WL method. An extension to the recursive kk-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.

Keywords

Cite

@article{arxiv.1101.5211,
  title  = {The Weisfeiler-Lehman Method and Graph Isomorphism Testing},
  author = {B. L. Douglas},
  journal= {arXiv preprint arXiv:1101.5211},
  year   = {2011}
}
R2 v1 2026-06-21T17:17:40.297Z