Achievable multiplicity partitions in the inverse eigenvalue problem of a graph

Associated to a graph G is a set 𝒮(G) of all real-valued symmetric matrices whose off-diagonal entries are nonzero precisely when the corresponding vertices of the graph are adjacent, and the diagonal entries are free to be chosen. If G has n vertices, then the multiplicities of the eigenvalues of a...

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Bibliographic Details
Main Authors: Adm Mohammad, Fallat Shaun, Meagher Karen, Nasserasr Shahla, Plosker Sarah, Yang Boting
Format: Article
Language:English
Published: De Gruyter 2019-12-01
Series:Special Matrices
Subjects:
Online Access:https://doi.org/10.1515/spma-2019-0022