Home › subhi ruzieh › Publications › Published Researches

The Distance Spectrum of the Path Pn and the First Distance Eigenvector of Connected Graphs

subhi ruzieh's picture
Mon, 2014-08-04 11:16 — Subhi Najab Ruzieh
Journal Title, Volume, Page: 
Linear and Multilinear Algebra Volume 28, Issue 1-2
Year of Publication: 
1990
Link: 
http://www.tandfonline.com/doi/abs/10.1080/03081089008818032
Authors: 
Subhi N. Ruzieha
Department of Mathematics and computer Science , Clarkson University , Postsdam, NY, 13676
Current Affiliation: 
Department of Mathematics , Faculty of Science, An-Najah National University, Nablus, Palestine
[email protected]
David L. Powersa
Department of Mathematics and computer Science , Clarkson University , Postsdam, NY, 13676
Preferred Abstract (Original): 

Forumulas are given for all of the eigenvalues and eigenvectors of the distance matrix of the path Pnon n vertices. It is shown that Pn has the maximum distance spectral radius among all connected graphs of order n, and an ordering property of the entries of the Perron-Frobenius eigenvector is presented.