Different phylogenetic methods often yield different inferred trees for the same set of organisms. Moreover, a single phylogenetic approach (such as a Bayesian analysis) can produce many trees. Consensus trees and topological distance matrices are often used to summarize the evolutionary relationships among the trees of interest. These summarization techniques are implemented in current phyloge...

The Wiener index of a graph is the sum of the distances between all pairs of vertices, it has been one of the main descriptors that correlate a chemical compound’s molecular graph with experimentally gathered data regarding the compound’s characteristics. In [1], the tree that minimizes the Wiener index among trees of given maximal degree is studied. We characterize trees that achieve the maxim...

The neutral theory of molecular evolution predicts that rates of phenotypic change are largely independent from genotypic change. A recent study by Bromham et al. (2002) confirmed this expectation, finding no evidence for correlated phenotypic and molecular evolutionary rates in animals. We reevaluate this hypothesis, sampling at different taxonomic levels in plants and animals, using Bayesian ...