Monotonicity properties of certain Laplacian eigenvectors associated with trees

Autor:	Bapat, Ravindra B.
Rok vydání:	2014
Předmět:	Mathematics - Combinatorics 05C05 05C50
Druh dokumentu:	Working Paper
Popis:	Nath and Paul (Linear Algebra Appl.,460(2014),97-110) have shown that the largest distance Laplacian eigenvalue of a path is simple and the corresponding eigenvector has properties similar to the Fiedler vector. We given an alternative proof, establishing a more general result in the process. It is conjectured that a similar phenomenon holds for any tree.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1411.0210 Zobrazit plný text záznamu View this record from Arxiv