English

Decline and Fall of the ICALP 2008 Modular Decomposition algorithm

Data Structures and Algorithms 2024-04-23 v1 Combinatorics

Abstract

We provide a counterexample to a crucial lemma in the ICALP 2008 paper "Simpler Linear-Time Modular Decomposition Via Recursive Factorizing Permutations", invalidating the algorithm described there.

Cite

@article{arxiv.2404.14049,
  title  = {Decline and Fall of the ICALP 2008 Modular Decomposition algorithm},
  author = {William Atherton and Dmitrii V. Pasechnik},
  journal= {arXiv preprint arXiv:2404.14049},
  year   = {2024}
}

Comments

5 pages, 1 figure

R2 v1 2026-06-28T16:02:04.861Z