On the Principal Permanent Rank Characteristic Sequences of Graphs and Digraphs

DOI10.13001/1081-3810.3117zbMath1339.05241arXiv1510.05153OpenAlexW2963550844MaRDI QIDQ2813053

Paul S. Horn, Keivan Hassani Monfared, Josh Tobin, Kathleen Nowak, Franklin H. J. Kenter, John Sinkovic

Publication date: 14 June 2016

Published in: The Electronic Journal of Linear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.05153

zbMATH Keywords

matchingminorsymmetric matrixskew-symmetric matrixgeneralized cyclepermanent rankprincipal permanent rank characteristic sequence

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Hermitian, skew-Hermitian, and related matrices (15B57) Directed graphs (digraphs), tournaments (05C20) Vector spaces, linear dependence, rank, lineability (15A03)

Cites Work

• The enhanced principal rank characteristic sequence
• The principal rank characteristic sequence over various fields
• Open problems on GKK \(\tau\)-matrices
• The principal rank characteristic sequence of a real symmetric matrix
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