On Iiro Honkala's Contributions to Identifying Codes

: Hudry, Olivier; Junnila, Ville; Lobstein, Antoine

Publisher: IOS Press BV

: 2024

: Fundamenta Informaticae

: 191

: 3-4

: 165

: 196

: 0169-2968

: 1875-8681

DOI: https://doi.org/10.3233/FI-242178

: https://doi.org/10.3233/FI-242178

: https://research.utu.fi/converis/portal/detail/Publication/457458578

A set C of vertices in a graph G = (V, E) is an identifying code if it is dominating and any two vertices of V 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.

AAM_IOS-Press_On-Iiro-Honkalas_2024.pdf

:
The author Ville Junnila was funded in part by the Academy of Finland grant 338797.