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- W4221162011 abstract "Sharp bounds on the least eigenvalue of an arbitrary graph are presented. Necessary and sufficient (just sufficient) conditions for the lower (upper) bound to be attained are deduced using edge clique partitions. As an application, we prove that the least eigenvalue of the $n$-Queens' graph $mathcal{Q}(n)$ is equal to $-4$ for every $n ge 4$ and it is also proven that the multiplicity of this eigenvalue is $(n-3)^2$. Additionally, some results on the edge clique partition graph parameters are obtained." @default.
- W4221162011 created "2022-04-03" @default.
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- W4221162011 date "2022-01-04" @default.
- W4221162011 modified "2023-09-26" @default.
- W4221162011 title "Sharp bounds on the least eigenvalue of a graph determined from edge clique partitions" @default.
- W4221162011 doi "https://doi.org/10.48550/arxiv.2201.01224" @default.
- W4221162011 hasPublicationYear "2022" @default.
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