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On Iiro Honkala's Contributions to Identifying Codes

  • University of Turku
  • Université Paris-Saclay

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish
Pages (from-to)165-196
Number of pages32
JournalFundamenta Informaticae
Volume191
Issue number3-4
DOIs
Publication statusPublished - 22 Jul 2024

Keywords

  • binary Hamming spaces
  • classic parameters of graphs
  • combinatorics
  • complexity
  • domination
  • graph theory
  • identifying codes
  • infinite grids
  • number of optimal solutions
  • separation
  • twin-free graphs

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