Laplacian spectral radii α>1 of trees with max degree ≤r are exactly the numbers where (α-1)^{-1} lies in the recursively defined set L_r(α); this implies trees with Δ<n and μ=n+1 exist precisely for n≥4.
Title resolution pending
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
math.CO 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
A new characterization of the set of Laplacian spectral radii of trees
Laplacian spectral radii α>1 of trees with max degree ≤r are exactly the numbers where (α-1)^{-1} lies in the recursively defined set L_r(α); this implies trees with Δ<n and μ=n+1 exist precisely for n≥4.