@misc{10498/32226,
year = {2022},
month = {3},
url = {http://hdl.handle.net/10498/32226},
abstract = {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.},
publisher = {Shahin},
keywords = {edge resolving partition},
keywords = {edge partition dimension},
keywords = {edge metric dimension},
keywords = {partition dimension},
title = {The Edge Partition Dimension of Graphs},
doi = {10.47443/dml.2023.010},
author = {Kuziak, Dorota and Maritz, Elizabeth and Vetrìk, Tomas and González Yero, Ismael},
}