6 citations · 14 across the 14 of their papers we have counts for
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math.CO2020★ 1 cited
Orthogonal symmetric matrices and joins of graphs
Rupert H. Levene, Polona Oblak, Helena Šmigoc
We introduce a notion of compatibility for multiplicity matrices. This gives rise to a necessary condition for the join of two (possibly disconnected) graphs and to be the…
math.CO2020
On the inverse eigenvalue problem for block graphs
Jephian C. -H. Lin, Polona Oblak, Helena Šmigoc
The inverse eigenvalue problem of a graph aims to find all possible spectra for matrices whose -entry, for , is nonzero precisely when is adjacent to . I…
math.SP2020
The Karpelevič Region Revisited
Stephen Kirkland, Thomas Laffey, Helena Smigoc
We consider the Karpelevič region consisting of all eigenvalues of all stochastic matrices of order . We provide an alternative characterisation of $Θ_n…