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.
References
Primary source
Asghar Bahmani and Dariush Kiani, “Structure of Trees with Respect to Nodal Vertex Sets”, arXiv:1907.12062 (2020).
Progress summary
Never refreshed
Nothing recorded yet. Refresh searches the literature and the public web for attempts on this problem, and writes the first summary here.
Solutions 0
No solutions have been posted yet.