1 citations · 2 across the 4 of their papers we have counts for
Showing math.SPShow all
3 papers · 1 filter
math.SP2021
Stochastic Matrices Realising the Boundary of the Karpelevi\v c Region
Stephen Kirkland, Helena Šmigoc
A celebrated result of Karpelevi\v c describes the collection of all eigenvalues arising from the stochastic matrices of order The boundary of consists of roots o…
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…
math.SP2018
A Nordhaus-Gaddum conjecture for the minimum number of distinct eigenvalues of a graph
Rupert H. Levene, Polona Oblak, Helena Šmigoc
We propose a Nordhaus-Gaddum conjecture for , the minimum number of distinct eigenvalues of a symmetric matrix corresponding to a graph : for every graph excluding fou…