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The Hoffman program for mixed graphs

Yu,Yuantian
van Dam,Edwin R.
Abstract
We consider Hoffman's program about the limit points of the spectral radius of the Hermitian adjacency matrix of mixed graphs. In particular, we determine all such limit points. As an intermediate step, we determine all mixed graphs without negative 4-cycle whose spectral radius does not exceed root2+root5.
Description
Date
2025-12
Journal Title
Journal ISSN
Volume Title
Publisher
Research Projects
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Keywords
limit points, Mixed graph, Spectral radius, root 2+root 5
Citation
Yu, Y & van Dam, E R 2025, 'The Hoffman program for mixed graphs', Linear Algebra and its Applications, vol. 726, pp. 436-457. https://doi.org/10.1016/j.laa.2025.07.034
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