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All graphs of order n ≥ 11 and diameter 2 with partition dimension n − 3

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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… Click to show full 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 this paper, we characterize all graphs of order n≥11 and diameter 2 with partition dimension n−3.

Keywords: order diameter; partition dimension; partition; graphs order

Journal Title: Heliyon
Year Published: 2020

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