On Iiro Honkala's contributions to identifying codes
Discrete Mathematics
2026-04-08 v3 Combinatorics
Abstract
A set of vertices in a graph is an identifying code if it is dominating and any two vertices of are dominated by distinct sets of codewords. This paper presents a survey of Iiro Honkala's contributions to the study of identifying codes with respect to several aspects: complexity of computing an identifying code, combinatorics in binary Hamming spaces, infinite grids, relationships between identifying codes and usual parameters in graphs, structural properties of graphs admitting identifying codes, and number of optimal identifying codes.
Keywords
Cite
@article{arxiv.2402.08264,
title = {On Iiro Honkala's contributions to identifying codes},
author = {Olivier Hudry and Ville Junnila and Antoine Lobstein},
journal= {arXiv preprint arXiv:2402.08264},
year = {2026}
}