The spectral characteristics of graphs and matrices form a central pillar of modern mathematical physics and network theory. At its core, the adjacency matrix of a graph encodes connectivity by ...

Mathematicians have proved that copies of smaller graphs can always be used to perfectly cover larger ones. On January 8, three mathematicians posted a proof of a nearly 60-year-old problem in ...

In just three pages, a Russian mathematician has presented a better way to color certain types of networks than many experts thought possible. A paper posted online last month has disproved a ...