Wikimedia Commons has media related to Set partitions. In the present article, we give the sharp upper bounds and lower bounds for the partition dimension of m-wheel, Wn,m for all n 4. The family P does not contain the empty set (that is ∅ ∉ P See also.A partition of a set X is a set of non-empty subsets of X such that every element x in X is in exactly one of these subsets (i.e., X is a disjoint union of the subsets).Įquivalently, a family of sets P is a partition of X if and only if all of the following conditions hold: