Integral trees of diameter 6

DOI10.1016/j.dam.2006.10.014zbMath1119.05070OpenAlexW2005897719MaRDI QIDQ2370424

Cornelis Hoede, Li-Gong Wang, Georg Still, Hajo J. Broersma, Xue Liang Li

Publication date: 26 June 2007

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://research.utwente.nl/en/publications/integral-trees-of-diameter-6(b75ef132-2ca7-4981-b6b0-039b158b6c8c).html

zbMATH Keywords

characteristic polynomialgraph spectrumintegral tree

Mathematics Subject Classification ID

Trees (05C05) Quadratic and bilinear Diophantine equations (11D09) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Higher degree equations; Fermat's equation (11D41)

Related Items (2)

Integral Cayley graphs over semi-dihedral groups ⋮ Integral Cayley graphs over dicyclic group

Cites Work

• Constructing cospectral graphs
• An infinite family of integral graphs
• On integral graphs which belong to the class \(\overline{\alpha K_{a,b}}\)
• Families of integral trees with diameters 4, 6, and 8.
• Construction of integral graphs
• Integral complete \(r\)-partite graphs
• On integral graphs which belong to the class \(\overline{\alpha K_a \cup \beta K_{b,b}}\)
• Which non-regular bipartite integral graphs with maximum degree four do not have \(\pm 1\) as eigenvalues?
• Integral trees with diameters 5 and 6
• A survey on integral graphs
• The nonregular, bipartite, integral graphs with maximum degree 4. I: Basic properties
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