The distance spectrum of a tree
โ
Russell Merris
๐
Article
๐
1990
๐
John Wiley and Sons
๐
English
โ 240 KB
## Abstract Let __T__ be a tree with line graph __T__\*. Define __K__ = 2__I__ + __A__(__T__\*), where __A__ denotes the adjacency matrix. Then the eigenvalues of โ2__K__^โ1^ interlace the eigenvalues of the distance matrix __D__. This permits numerous results about the spectrum of __K__ to be tran