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arXiv 1407.4285math.CO
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谱半径减去平均度:一个较好的界

Spectral radius minus average degree: a better bound

Felix Goldberg

摘要:

Collatz和Sinogowitz提出了用(邻接)谱半径和平均度之差来度量图$G$偏离正则性的程度:$ε(G)=ρ(G)-\frac{2m}{n}$。我们在这里给这个数量的新的下界,这改善了目前已知的。

英文摘要:

Collatz and Sinogowitz had proposed to measure the departure of a graph $G$ from regularity by the difference of the (adjacency) spectral radius and the average degree: $ε(G)=ρ(G)-\frac{2m}{n}$. We give here new lower bounds on this quantity, which improve upon the currently known ones.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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