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- W2891805128 abstract "Let $v(k, lambda)$ be the maximum number of vertices of a connected $k$-regular graph with second largest eigenvalue at most $lambda$. The Alon-Boppana Theorem implies that $v(k, lambda)$ is finite when $k > frac{lambda^2 + 4}{4}$. In this paper, we show that for fixed $lambda geq1$, there exists a constant $C(lambda)$ such that $2k+2 leq v(k, lambda) leq 2k + C(lambda)$ when $k > frac{lambda^2 + 4}{4}$." @default.
- W2891805128 created "2018-09-27" @default.
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- W2891805128 date "2018-09-06" @default.
- W2891805128 modified "2023-09-27" @default.
- W2891805128 title "On the order of regular graphs with fixed second largest eigenvalue" @default.
- W2891805128 hasPublicationYear "2018" @default.
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