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20032012
most citedCavity approach to the first eigenvalue problem in a family of symmetric random sparse matrices

33 citations · 93 across the 8 of their papers we have counts for

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math-ph2012★ 4 cited

Fat-tailed distribution derived from first eigenvector of symmetric random sparse matrix

Hisanao Takahashi

Many solutions for scientific problems rely on finding the first (largest) eigenvalue and eigenvector of a particular matrix. We explore the distribution of the first eigenvector o…

cond-mat.dis-nn2012★ 29 cited

First eigenvalue/eigenvector in sparse random symmetric matrices: influences of degree fluctuation

Yoshiyuki Kabashima, Hisanao Takahashi

The properties of the first (largest) eigenvalue and its eigenvector (first eigenvector) are investigated for large sparse random symmetric matrices that are characterized by bimod…