Name
Abstract | ||
|---|---|---|
We study n x n random symmetric matrices whose entries above the diagonal are iid random variables each of which takes 1 with probability p and 0 with probability 1 p, for a given density parameter p = alpha/n for sufficiently large alpha. For a given such matrix A, we consider a matrix A' that is obtained by removing some rows and corresponding columns with too many value 1 entries. Then for this A', we show that the largest eigenvalue is asymptotically close to alpha + 1 and its eigenvector is almost parallel to all one vector (1,..., 1). |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1587/transfun.E94.A.1247 | IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES |
Keywords | Field | DocType |
random symmetric 0, 1-matrix, sparse matrix, eigenvalue, eigenvector | Discrete mathematics,Combinatorics,Stochastic matrix,Matrix (mathematics),Generalized eigenvector,Square matrix,Multivariate random variable,Integer matrix,Circular law,Band matrix,Mathematics | Journal |
Volume | Issue | ISSN |
E94A | 6 | 0916-8508 |
Citations | PageRank | References |
1 | 0.36 | 4 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tomonori Ando | 1 | 1 | 0.36 |
| Yoshiyuki Kabashima | 2 | 136 | 27.83 |
| Hisanao Takahashi | 3 | 1 | 0.36 |
| Osamu Watanabe | 4 | 960 | 104.55 |
| Masaki Yamamoto | 5 | 1 | 0.36 |