%0 Journal Article 
%A Kuziak, Dorota
%A Maritz, Elizabeth
%A Vetrìk, Tomas
%A González Yero, Ismael
%T The Edge Partition Dimension of Graphs
%D 2022
%@ 2664-2557
%U http://hdl.handle.net/10498/32226
%X Theedgemetric dimension wasintroduced in 2018 and since then, it has been extensively studied. In this paper, we present a different way to obtain resolving structures in graphs in order to gain more insight into the study of edge resolving sets andresolving partitions. We define the edge partition dimension of a connected graph and bound it for graphs of given order andfor graphswithgivenmaximumdegree. Weobtainexactvaluesoftheedgepartitiondimensionformultipartite graphs. Some relations between the edge partition dimension and partition dimension/edge metric dimension are also presented. Moreover, several open problems for further research are stated.
%K edge resolving partition
%K edge partition dimension
%K edge metric dimension
%K partition dimension
%~ Universidad de Cádiz