but the reality is that although these pure graph theory algorithms are decidedly influential, they cannot be applied verbatim to the reality of graph traversal between destinations in the ...

Just as ice melts to water, graphs undergo phase transitions. Two mathematicians showed that they can pinpoint such transitions by examining only local structure. The Quanta Newsletter ...

This is the case with an important problem in computer science called "graph isomorphism testing" whereby scientists use algorithms to test whether two graphs are the same. In theory, it cannot be ...

Using modern portfolio theory, investors can build portfolios ... The efficient frontier is a graph that represents the most “efficient” or risk-optimized portfolio allocation for various ...