Cheeger's cut, maxcut and the spectral theory of1-Laplacian on graphs

被引：0

作者：

CHANG KungChing ^{[1
]}

SHAO SiHong ^{[1
]}

ZHANG Dong ^{[1
]}

机构：

[1] LMAM and School of Mathematical Sciences, Peking University

来源：

Science China Mathematics | 2017年 / 60卷 / 11期

基金：

中国国家自然科学基金;

关键词：

spectral graph theory; Laplacian; graph cut; optimization; critical point theory;

D O I：

暂无

中图分类号：

O157.5 [图论];

学科分类号：

070104 ;

摘要：

This is primarily an expository paper surveying up-to-date known results on the spectral theory of1-Laplacian on graphs and its applications to the Cheeger cut, maxcut and multi-cut problems. The structure of eigenspace, nodal domains, multiplicities of eigenvalues, and algorithms for graph cuts are collected.

引用

页码：1963 / 1980

页数：18

共 30 条

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