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Eigenvalues of symmetric integer matrices

✍ Scribed by Dennis R Estes

Publisher: Elsevier Science
Year: 1992
Tongue: English
Weight: 287 KB
Volume: 42
Category: Article
ISSN: 0022-314X
DOI: 10.1016/0022-314x(92)90094-6

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## 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