2026/07/28 by Azzah Albejani, Yuqing Lin, Joe Ryan +1
Mathematics · #math.CO #msc:05C12
arxiv created 2026/07/29 · arxiv updated 2026/07/30
In this paper, we introduce the multiset partition dimension of graphs. This parameter extends the classical partition dimension to the multiset setting by considering multiset distances from vertices to parts of a vertex partition. We establish some fundamental properties of this parameter and determine its exact values for several important classes of graphs.