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- W2759460388 abstract "A tree is said to be starlike if exactly one vertex has degree greater than two. In this paper, we will study the spectral properties of $S(n,k cdot 1)$, that is, the starlike tree with $k$ branches of length 1 and one branch of length $n$. The largest eigenvalue $lambda_1$ of $S(n,k cdot 1)$ satisfies $sqrt{k+1} leq lambda_1 < k/sqrt{k-1}$. Moreover, the largest eigenvalue of $S(n,k cdot 1)$ is equal to the largest eigenvalue of $S(k cdot (n+1) )$, which is the starlike tree that has $k$ branches of length $n-1$. Using the spectral radii of $S(n,k cdot 1)$ we can show" @default.
- W2759460388 created "2017-10-06" @default.
- W2759460388 creator A5068284417 @default.
- W2759460388 date "2017-09-26" @default.
- W2759460388 modified "2023-09-27" @default.
- W2759460388 title "Spectral radius of a star with one long arm" @default.
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