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On the spectrum of complex unit gain graphs

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Publication:6614570
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MaRDI QIDQ6614570

M. Rajesh Kannan, Aniruddha Samanta

Publication date: 7 October 2024

Published in: (Search for Journal in Brave)





Mathematics Subject Classification ID

Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Hermitian, skew-Hermitian, and related matrices (15B57) Signed and weighted graphs (05C22)


Cites Work

  • Spectral properties of complex unit gain graphs
  • Hermitian-adjacency matrices and Hermitian energies of mixed graphs
  • On weighted directed graphs
  • Balance in gain graphs - a spectral analysis
  • Oriented gain graphs, line graphs and eigenvalues
  • Biased graphs. I: Bias, balance, and gains
  • Signed graphs
  • A group representation approach to balance of gain graphs
  • Hermitian adjacency matrix of the second kind for mixed graphs
  • A new kind of Hermitian matrices for digraphs
  • Large regular bipartite graphs with median eigenvalue 1
  • A reciprocal eigenvalue property for unicyclic weighted directed graphs with weights from \(\{\pm 1,{\pm}i\}\)
  • Graph Theory
  • Matrices in the Theory of Signed Simple Graphs
  • Cycle and circle tests of balance in gain graphs: Forbidden minors and their groups







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