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- W4225339278 abstract "A mixed tree is a tree in which both directed arcs and undirected edges may exist. Let $T$ be a mixed tree with $n$ vertices and $m$ arcs, where an undirected edge is counted twice as arcs. Let $A$ be the adjacency matrix of $T$. For $alphain[0,1]$, the matrix $A_alpha$ of $T$ is defined to be $alpha D^++(1-alpha)A$, where $D^+$ is the the diagonal out-degree matrix of $T$. The $A_alpha$-spectral radius of $T$ is the largest real eigenvalue of $A_alpha$. We will give a sharp upper bound and a sharp lower bound of the $A_alpha$-spectral radius of $T$." @default.
- W4225339278 created "2022-05-05" @default.
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- W4225339278 date "2021-12-03" @default.
- W4225339278 modified "2023-09-29" @default.
- W4225339278 title "Sharp bounds of the $A_alpha$-spectral radii of mixed trees" @default.
- W4225339278 hasPublicationYear "2021" @default.
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