English

The $k$-Dimensional Weisfeiler-Leman Algorithm

Computational Complexity 2019-07-24 v1 Data Structures and Algorithms Logic

Abstract

In this note, we provide details of the kk-dimensional Weisfeiler-Leman Algorithm and its analysis from Immerman-Lander (1990). In particular, we present an optimized version of the algorithm that runs in time O(nk+1logn)O(n^{k+1}\log n), where kk is fixed (not varying with nn).

Keywords

Cite

@article{arxiv.1907.09582,
  title  = {The $k$-Dimensional Weisfeiler-Leman Algorithm},
  author = {Neil Immerman and Rik Sengupta},
  journal= {arXiv preprint arXiv:1907.09582},
  year   = {2019}
}

Comments

7 pages

R2 v1 2026-06-23T10:27:41.631Z