Abstract
For almost all graphs the answer to the question in the title is still unknown. Here we survey the cases for which the answer is known. Not only the adjacency matrix, but also other types of matrices, such as the Laplacian matrix, are considered. © 2003 Elsevier Inc. All rights reserved.
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Van Dam, E. R., & Haemers, W. H. (2003). Which graphs are determined by their spectrum? In Linear Algebra and Its Applications (Vol. 373, pp. 241–272). https://doi.org/10.1016/S0024-3795(03)00483-X
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