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Issue 3
May  2012
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Article Contents
HE Chang-xiang, ZHOU Min. Least Q-eigenvalue of a graph[J]. Journal of East China Normal University (Natural Sciences), 2012, (3): 1-5.
Citation: HE Chang-xiang, ZHOU Min. Least Q-eigenvalue of a graph[J]. Journal of East China Normal University (Natural Sciences), 2012, (3): 1-5.

Least Q-eigenvalue of a graph

  • Received Date: 2011-05-01
  • Rev Recd Date: 2011-08-01
  • Publish Date: 2012-05-25
  • We showed that: If $G$ is a non-bipartite connected graph, then $q(G)\geqslant \frac{1}{n(D+1)}$, where $g(G)$ is the least $Q$-eigenvalue of $G$, and $D$ is the diameter of $G$. Some relations between the least $Q$-eigenvalue of $G$ and that of its subgraph were given.
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    {6}CARDOSO D M, CVETKOVI\'C D, ROWLINSON P, et al. A sharp lower bound for the least eigenvalue of the signless Laplacian of a non-bipartite graph[J]. Linear Algebra and its Applications, 2008, 429: 2770-2780.
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