RT journal article T1 On the (k,l)-anonymity of networks via their k-metric antidimension A1 Fernández Areizaga, Elena A1 Kuziak, Dorota A1 Muñoz Márquez, Manuel A1 González Yero, Ismael A2 Estadística e Investigación Operativa A2 Matemáticas K1 anonimity of networks K1 k-metric antidimension AB This work focuses on the (k,l)-anonymity of some networks as a measure of their privacy against active attacks. Two different types of networks are considered. The first one consists of graphs with a predetermined structure, namely cylinders, toruses, and 2-dimensional Hamming graphs, whereas the second one is formed by randomly generated graphs. In order to evaluate the (k,l)-anonymity of the considered graphs, we have computed their k-metric antidimension. To this end, we have taken a combinatorial approach for the graphs with a predetermined structure, whereas for randomly generated graphs we have developed an integer programming formulation and computationally tested its implementation. The results of the combinatorial approach, as well as those from the implementations indicate that, according to the (k,l)-anonymity measure, only the 2-dimensional Hamming graphs and some general random dense graphs are achieving some higher privacy properties. PB NATURE PORTFOLIO SN 2045-2322 YR 2023 FD 2023-11-04 LK http://hdl.handle.net/10498/29984 UL http://hdl.handle.net/10498/29984 LA eng NO MINECOUniversidad de Cádiz DS Repositorio Institucional de la Universidad de Cádiz RD 11-nov-2026