All graphs of order n ≥ 11 and diameter 2 with partition dimension n − 3
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DOI: 10.1016/j.heliyon.2020.e03694
Abstract: All graphs of order n with partition dimension 2, n−2, n−1, or n have been characterized. However, finding all graphs on n vertices with partition dimension other than these above numbers is still open. In… read more here.
Keywords: order diameter; partition dimension; partition; graphs order ... See more keywords
On the Partition Dimension of Tri-Hexagonal α-Boron Nanotube
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DOI: 10.1109/access.2021.3071716
Abstract: The production of low-cost, small in size, and high in efficiency objects is the topic of research in almost all scientific fields, especially of engineering. In this scenario, nanotechnology becomes of great importance. To achieve… read more here.
Keywords: boron nanotube; partition dimension; tri hexagonal;
Computing the partition dimension of certain families of Toeplitz graph
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DOI: 10.3389/fncom.2022.959105
Abstract: Let G = (V(G), E(G)) be a graph with no loops, numerous edges, and only one component, which is made up of the vertex set V(G) and the edge set E(G). The distance d(u, v)… read more here.
Keywords: partition; vertex; dimension certain; partition dimension ... See more keywords