We consider ferromagnetic Ising models on graphs that converge locally to trees. Examples include random regular graphs with bounded degree and uniformly random graphs with bounded average degree. We ...

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 ...

The new program is validated in a set of clinical pedigrees demonstrating its practical accuracy and relevance to the field. Collectively, the data are compelling and support the major conclusions of ...

The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a broad spectrum of mathematical interests, and include professional ...

Microsoft's Space Partition Tree and Graph algorithm enables developers to apply vector search to traditional, audio and visual queries. Microsoft has made its Space Partition Tree And Graph (SPTAG) ...

A couple of years ago, Canadian scientists celebrated the Christmas season by creating a microscopic gingerbread house. In that same spirit, Danish researchers have now produced what they claim is the ...

The wonderful potential of graphene has been well covered on our pages, with its supreme strength, ultra-thin profile, and excellent electrical and thermal conductivity opening up all kinds of ...

Grafts from 176-year-old dying tree will be used to replace sycamore Rutherford County Mayor Joe Carr talks about working with an arborist to take grafts from 176-year-old dying tree to replace ...