The Minimum Spectral Radius of Graphs with the Independence Number
classification
🧮 math.CO
keywords
graphsconnectedalphaindependenceminimumnumberradiuscharacterize
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In this paper, we investigate some properties of the Perron vector of connected graphs. These results are used to characterize that all extremal connected graphs with having the minimum (maximum) spectra radius among all connected graphs of order $n=k\alpha$ with the independence number $\alpha$, respectively.
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