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1. Spectral arbitrariness for trees fails spectacularly
Shaun M. Fallat, H. Tracy Hall, Rupert H. Levene, Seth A. Meyer, Shahla Nasserasr, Polona Oblak, Helena Šmigoc, 2024, original scientific article

Keywords: spectrum, multiplicity lists, rooted trees, hedges, inverse eigenvalue problem for graphs
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2. Bordering of symmetric matrices and an application to the minimum number of distinct eigenvalues for the join of graphs
Aida Abiad, Shaun M. Fallat, Mark Kempton, Rupert H. Levene, Polona Oblak, Helena Šmigoc, Michael Tait, Kevin N. Vander Meulen, 2023, original scientific article

Keywords: inverse eigenvalue problem, minimum number of distinct eigenvalues, borderings, joins of graphs, paths, cycles, hypercubes
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3. Correction to
Davod Thaghizadeh, Mohsen Zahraei, Narges Haj Aboutalebi, Aljoša Peperko, Shaun M. Fallat, 2025, original scientific article

Keywords: numerical range, tropical algebra, max algebra, k-numerical range, C-numerical range
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