Real Root Conjecture fails for five and higher dimensional spheres
Swiatoslaw R. Gal
Abstract
A construction of convex flag triangulations of five and higher dimensional spheres, whose h-polynomials fail to have only real roots, is given. We show that there is no such example in dimensions lower than five. A condition weaker than realrootedness is conjectured and some evidence is provided
Create a lesson
Related papers
A face polynomial invariant for embedded graphs
Hongxia Ma, Metrose Metsidik
Odd-ordered Cayley graphs satisfy Erdős--Gyárfás
Michael C. Burkhart
The Maximum Second Zagreb Spectral Radius of Trees, Unicyclic Graphs and Bicyclic Graphs
Juan Wang, Genjie Wang
A Low-Diameter Nash-Williams--Tutte Theorem
Pin-Hsian Lee, Peng-Ting Lin, Meng-Tsung Tsai et al.
A Short Proof and Generalization of the Rainbow Cycle Theorem and Improved Bounds for Binary Even-Query LCCs
Andrew D. Lin
Automaticity of structural defects in fixed points of block substitutions
Lior Tenenbaum