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- W1569986246 abstract "Shiu, Chan and Chang [On the spectral radius of graphs with connectivity at most $k$, J. Math. Chem., 46 (2009), 340-346] studied the spectral radius of graphs of order $n$ with $kappa(G) leq k$ and showed that among those graphs, the maximum spectral radius is obtained uniquely at $K_k^n$, which is the graph obtained by joining $k$ edges from $k$ vertices of $K_{n-1}$ to an isolated vertex. In this paper, we study the spectral radius of graphs of order $n$ with $kappa(G)leq k$ and minimum degree $delta(G)geq k $. We show that among those graphs, the maximum spectral radius is obtained uniquely at $K_{k}+(K_{delta-k+1}cup K_{n-delta-1})$." @default.
- W1569986246 created "2016-06-24" @default.
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- W1569986246 date "2011-07-27" @default.
- W1569986246 modified "2023-09-27" @default.
- W1569986246 title "Maximum spectral radius of graphs with given connectivity and minimum degree" @default.
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