On graphs whose Laplacian matrices have
✍
Shaun M. Fallat; Stephen J. Kirkland; Jason J. Molitierno; M. Neumann
📂
Article
📅
2005
🏛
John Wiley and Sons
🌐
English
⚖ 120 KB
## Abstract In this paper, we investigate graphs for which the corresponding Laplacian matrix has distinct integer eigenvalues. We define the set __S~i,n~__ to be the set of all integers from 0 to __n__, excluding __i__. If there exists a graph whose Laplacian matrix has this set as its eigenvalues