The integral trees with spectral radius 3

DOI10.1016/j.laa.2008.02.009zbMath1152.05042OpenAlexW3121811987MaRDI QIDQ952062

Andries E. Brouwer, Willem H. Haemers

Publication date: 6 November 2008

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.02.009

zbMATH Keywords

treesintegral graphsgraph spectra

Mathematics Subject Classification ID

Trees (05C05) Enumeration in graph theory (05C30) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items

HS-integral and Eisenstein integral mixed Cayley graphs over abelian groups, Integral trees of arbitrarily large diameters, Integral cographs, The spectra of graphs based on general graph operations, Integral trees with diameter four, Graphs with integral spectrum, On \(Q\)-integral graphs with edge-degrees at most six, The spectrum of semi-Cayley graphs over abelian groups, The non-bipartite integral graphs with spectral radius three, The integral graphs with index 3 and exactly two main eigenvalues, Integral mixed circulant graphs

Cites Work

• On a Diophantine equation arising in graph theory
• There are integral trees of diameter 7
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