On metric dimension of hs×p hellebores flower graph

A metric basis is a subset of vertex set in a graph [Formula: see text], such that every vertex in the graph [Formula: see text] has a unique distance vector to the vertices in the subset. The cardinality of the metric basis is called the metric dimension of [Formula: see text], and is presented by [Formula: see text]. In this paper, we define the hellebores flower graph, and it is denoted by [Formula: see text]. For this graph, we investigate its metric basis as well as the metric dimension, and we also show that it is unbounded and is equal to [Formula: see text] if [Formula: see text] and [Formula: see text] otherwise.