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- W4376632905 abstract "The unraveled ball of radius $r$ centered at a vertex $v$ in a weighted graph $G$ is the ball of radius $r$ centered at $v$ in the universal cover of $G$. We present a general bound on the maximum spectral radius of unraveled balls of fixed radius in a weighted graph. The weighted degree of a vertex in a weighted graph is the sum of weights of edges incident to the vertex. A weighted graph is called regular if the weighted degrees of its vertices are the same. Using the result on unraveled balls, we prove a variation of the Alon-Boppana theorem for regular weighted graphs." @default.
- W4376632905 created "2023-05-17" @default.
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- W4376632905 date "2023-05-12" @default.
- W4376632905 modified "2023-10-18" @default.
- W4376632905 title "Alon-Boppana-type bounds for weighted graphs" @default.
- W4376632905 doi "https://doi.org/10.48550/arxiv.2305.07560" @default.
- W4376632905 hasPublicationYear "2023" @default.
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