13 citations · 39 across the 25 of their papers we have counts for
3 papers · 2 filters
Bordering of Symmetric Matrices and an Application to the Minimum Number of Distinct Eigenvalues for the Join of Graphs
Aida Abiad, Shaun M. Fallat, Mark Kempton +5
An important facet of the inverse eigenvalue problem for graphs is to determine the minimum number of distinct eigenvalues of a particular graph. We resolve this question for the j…
The liberation set in the inverse eigenvalue problem of a graph
Jephian C. -H. Lin, Polona Oblak, Helena Šmigoc
The inverse eigenvalue problem of a graph is the problem of characterizing all lists of eigenvalues of real symmetric matrices whose off-diagonal pattern is prescribed by the a…
Spectral arbitrariness for trees fails spectacularly
Shaun M. Fallat, H. Tracy Hall, Rupert H. Levene +4
If is a graph and is an ordered multiplicity list which is realizable by at least one symmetric matrix with graph , what can we say about the eigenvalues of all…