Some sharp lower bounds for energy
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摘要: 图\ $G$ 的能量\ $\mathcal{E}(G)$ 定义为它的邻接矩阵的所有特征值的绝对值之和, 在化学中, 它用来近似分子的\ $\pi$ 电子总能量. 本文给出了关于图的能量\ $\mathcal{E}(G)$ 的几个下界, 同时刻画了达到这些下界的极图.Abstract: The energy $\mathcal{E}(G)$ of a graph $G$ is the sum of the absolute values of all the eigenvalues of the adjacency matrix of $G$. It is used in chemistry to approximate the total $\pi$-electron energy of a molecule. This paper presented some new lower bounds for $\mathcal{E}(G)$, and characterized those graphs for which these bounds were attained.
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Key words:
- graphenergylower boundinterlacequotient matrix /
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