A Cheeger inequality of a distance regular graph using Green's function

A Cheeger inequality of a distance regular graph using Green's function
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DOI:
10.1016/j.disc.2013.06.012
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发表时间:
2013-10
期刊:
Discret. Math.
影响因子:
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通讯作者:
G. C. Kim;Yoonjin Lee
G. C. Kim;Yoonjin Lee
中科院分区:
其他
文献类型:
--
作者:
G. C. Kim;Yoonjin Lee

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利用Laplacian的最小正特征值和用q-数定义的值α d,给出了距离正则图的Cheeger不等式.我们可以用任意小的正误差β来近似α d。该方法是使用一个绿色函数,这是反β-拉普拉斯。
We give a Cheeger inequality of distance regular graphs in terms of the smallest positive eigenvalue of the Laplacian and a value α d which is defined using q-numbers. We can approximate α d with arbitrarily small positive error β. The method is to use a Green’s function, which is the inverse of the β-Laplacian.