Bounds on Identifying Codes in the Cartesian Product of a Star and a Path Graph

  • Juliana P. Felix UFG
  • Márcia R. Cappelle UFG


In a graph, an identifying code (or ID code, for short) is a dominating set with the property that the closed neighborhood of each vertex in the graph has a distinct intersection with the set. Thus every vertex can be uniquely identified by this intersection. The ID code number of a graph G is the minimum cardinality of an ID code of G and is denoted by γID(G). We present lower and upper bounds for γID in the Cartesian product of star and path graphs.


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FELIX, Juliana P.; CAPPELLE, Márcia R.. Bounds on Identifying Codes in the Cartesian Product of a Star and a Path Graph. In: ENCONTRO DE TEORIA DA COMPUTAÇÃO (ETC), 8. , 2023, João Pessoa/PB. Anais [...]. Porto Alegre: Sociedade Brasileira de Computação, 2023 . p. 55-59. ISSN 2595-6116. DOI: