It is well known that the coefficients of matching polynomial are unimodal. Unimodality (or their absolute values) other graph polynomials has been studied as well. One way to prove unimodality real-rootedness. Recently I. Beaton and J. Brown (2020) proved for almost all graphs domination form a unimodal sequence, C. Barton, D. Pike forest (aka acyclic polynomial) real-rooted iff G forest. Let ...

Reconstructing ancestral bacteria The origin of the eubacteria and phylogenetic relationships between subgroups have been difficult to resolve. Applying a analysis recent computational methods expanded diversity bacterial sequences from metagenomic analyses, Coleman et al. infer root eubacterial tree (see Perspective by Katz). was determined without using Archaea as an outgroup, avoid possibili...