Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9498265 | Linear Algebra and its Applications | 2005 | 5 Pages |
Abstract
A sharp lower bound for the smallest entries, among those corresponding to edges, of doubly stochastic matrices of trees is obtained, and the trees that attain this bound are characterized. This result is used to provide a negative answer to Merris' question in [R. Merris, Doubly stochastic graph matrices II, Linear Multilin. Algebra 45 (1998) 275-285].
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Xiao-Dong Zhang,