1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.CO2023
An interlacing property of the signless Laplacian of threshold graphs
Christoph Helmberg, Guilherme Porto, Guilherme Torres +1
We show that for threshold graphs, the eigenvalues of the signless Laplacian matrix interlace with the degrees of the vertices. As an application, we show that the signless Brouwer…
math.OC2021★ 1 cited
A Preconditioned Iterative Interior Point Approach to the Conic Bundle Subproblem
Christoph Helmberg
The conic bundle implementation of the spectral bundle method for large scale semidefinite programming solves in each iteration a semidefinite quadratic subproblem by an interior p…
math.CO2016
Spectral threshold dominance, Brouwer's conjecture and maximality of Laplacian energy
Christoph Helmberg, Vilmar Trevisan
The Laplacian energy of a graph is the sum of the distances of the eigenvalues of the Laplacian matrix of the graph to the graph's average degree. The maximum Laplacian energy over…