Improved Cheeger's Inequality and Analysis of Local Graph Partitioning using Vertex Expansion and Expansion Profile
نویسندگان
چکیده
منابع مشابه
Improved Cheeger's Inequality and Analysis of Local Graph Partitioning using Vertex Expansion and Expansion Profile
We prove two generalizations of the Cheeger’s inequality. The first generalization relates the second eigenvalue to the edge expansion and the vertex expansion of the graph G, λ2 = Ω(φ V (G) · φ(G)), where φ (G) denotes the robust vertex expansion of G and φ(G) denotes the edge expansion of G. The second generalization relates the second eigenvalue to the edge expansion and the expansion profil...
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ژورنال
عنوان ژورنال: SIAM Journal on Computing
سال: 2017
ISSN: 0097-5397,1095-7111
DOI: 10.1137/16m1079816