Some math conjectures and theorems and proofs can take on a profound, quasi-religious status as examples of the limits of human comprehension. TREE(3) is one of those examples. "You've got all these ...

Thanks to a team of scientists, there's a new "tree of life" showing the ancestry of millions of different species dating back to the beginning of the planet. The team, led by Karen Cranston of Duke ...

For thousands of years, philosophers have pondered cardinality: knowing “how many.” Using a series of crude estimates, the ancient Greek mathematician Archimedes worked out the approximate number of ...

No family tree is cooler than that of the British royal family. Who wouldn’t want to be related to the ever-stylish Queen Elizabeth II? What’s interesting about the royals in particular is that many ...

Consider a family of random ordered graph trees (T n ) n≥1 , where T n has n vertices. It has previously been established that if the associated search-depth processes converge to the normalised ...

Concepts which measure the centrality of a vertex in a graph (eccentricity, distance and branch weight) are extended to paths in a graph. Locating paths with minimum eccentricity and distance, ...