Potentially nilpotent and spectrally arbitrary even cycle sign patterns

DOI10.1016/j.laa.2006.10.001zbMath1112.05062OpenAlexW2085453797MaRDI QIDQ864553

B. D. Bingham, D. Dale Olesky, Pauline van den Driessche

Publication date: 12 February 2007

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2006.10.001

zbMATH Keywords

digraphcharacteristic polynomialnilpotent matrix

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Positive matrices and their generalizations; cones of matrices (15B48)

Related Items

The nilpotent-centralizer method for spectrally arbitrary patterns, New classes of spectrally arbitrary ray patterns, Allow problems concerning spectral properties of sign pattern matrices: a survey

Cites Work

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• Sign pattern matrices that allow a nilpotent matrix