MathDBTotally positive algebraic integer Laplacian-eigenvalue conjecture
Totally positive algebraic integer Laplacian-eigenvalue conjecture
A totally positive algebraic integer is an algebraic integer all of whose algebraic conjugates are positive real numbers. Totally positive algebraic integer Laplacian-eigenvalue conjecture. Every totally positive algebraic integer is a Laplacian eigenvalue of some tree. This is the Laplacian analogue of the preceding realization question for tree eigenvalues. The supplied text gives no resolution status.
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Sources & referencesView supporting material
Primary source
Asghar Bahmani and Dariush Kiani, “Structure of Trees with Respect to Nodal Vertex Sets”, arXiv:1907.12062 (2020).
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