But in theory, there is no guarantee ... Put simply, smoothed analysis introduces small random perturbations to the connections in a graph rather than focusing purely on worst-case scenarios.

The course should be especially appealing to undergrad and grad students who seek intuition as well as a mathematical exposition of random graph theory. Note. This course is different but ...

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 ...