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pro vyhledávání: '"Driessche, Pauline van den"'
We study the sets of inertias achieved by Laplacian matrices of weighted signed graphs. First we characterize signed graphs with a unique Laplacian inertia. Then we show that there is a sufficiently small perturbation of the nonzero weights on the ed
Externí odkaz:
http://arxiv.org/abs/1912.03844
Publikováno v:
Linear Algebra and Its Applications 534 (2017) 36-50
We develop a matrix bordering technique that can be applied to an irreducible spectrally arbitrary sign pattern to construct a higher order spectrally arbitrary sign pattern. This technique generalizes a recently developed triangle extension method.
Externí odkaz:
http://arxiv.org/abs/1708.09237