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The least eigenvalue of signless Laplacian of non-bipartite graphs with given domination number

Published 6 Sep 2013 in math.CO | (1309.1632v2)

Abstract: Let $G$ be a connected non-bipartite graph on $n$ vertices with domination number $\gamma \le \frac{n+1}{3}$. We investigate the least eigenvalue of the signless Laplacian of $G$, and present a lower bound for such eigenvalue in terms of the domination number $\gamma$.

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