Tree sign patterns that allow nilpotence of index 4

DOI10.1080/03081087.2014.914930zbMath1312.15044OpenAlexW2063033297MaRDI QIDQ5175376

Jun Luo, Hou-Biao Li, Zhongshan Li, Li-Hua Zhang, Ting-Zhu Huang

Publication date: 20 February 2015

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

Full work available at URL: https://doi.org/10.1080/03081087.2014.914930

zbMATH Keywords

treegraphsign patternstar sign patterndouble star sign patternindex of nilpotencepotentially nilpotent sign patterntree sign pattern matrix

Mathematics Subject Classification ID

Trees (05C05) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Coloring of graphs and hypergraphs (05C15) Sign pattern matrices (15B35)

Cites Work

• Sign patterns allowing nilpotence of index 3
• Allow problems concerning spectral properties of sign pattern matrices: a survey
• Spectrally arbitrary star sign patterns
• Potentially nilpotent sign pattern matrices
• Rational realizations of the minimum rank of a sign pattern matrix
• On potentially nilpotent double star sign patterns
• ON NILPOTENCE INDICES OF SIGN PATTERNS
• Sign pattern matrices that allow a nilpotent matrix
• Combinatorial Matrix Theory

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