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Minimal least eigenvalue of connected graphs of order n and size m = n + k (5 ⩽ k ⩽ 8)

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The least eigenvalue of a connected graph is the least eigenvalue of its adjacency matrix. We characterize the connected graphs of order n and size n + k (5 ⩽… Click to show full abstract

The least eigenvalue of a connected graph is the least eigenvalue of its adjacency matrix. We characterize the connected graphs of order n and size n + k (5 ⩽ k ⩽ 8 and n ⩾ k + 5) with the minimal least eigenvalue.

Keywords: least eigenvalue; eigenvalue connected; minimal least; graphs order; order size; connected graphs

Journal Title: Frontiers of Mathematics in China
Year Published: 2019

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