3 accepted papers
In this paper, we consider the problem of projecting networks onto metric spaces. Networks are structures that encode relationships between pairs of elements or nodes. However, these relationships can be independent of each other, and need not be defined for every pair of nodes. This is in contrast…
Networks which show the relationships within and between complex systems are key tools in a variety of current scientific areas. A central aim in network analysis is to find a suitable metric for network similarity and comparison. We propose a definition for the space of all networks, and show that…
Estimating optimal phylogenetic trees or hierarchical clustering trees from metric data is an important problem in evolutionary biology and data analysis. Intuitively, the goodness-of-fit of a metric space to a tree depends on its inherent treeness, as well as other metric properties such as intrins…