2 papers
cs.DM2014
Tree simplification and the 'plateaux' phenomenon of graph Laplacian eigenvalues
Naoki Saito, Ernest Woei
We developed a procedure of reducing the number of vertices and edges of a given tree, which we call the "tree simplification procedure," without changing its topological informati…
math.NA2011
Mysteries around the graph Laplacian eigenvalue 4
Yuji Nakatsukasa, Naoki Saito, Ernest Woei
We describe our current understanding on the phase transition phenomenon of the graph Laplacian eigenvectors constructed on a certain type of unweighted trees, which we previously…