An implicit enumeration algorithm is developed for the machine sequencing problem. The method is based on the graph-theoretical representation of the problem. The convergence of the algorithm is ...

First, we show that the determinant of a given matrix can be expanded by its principal minors together with a set of arbitrary parameters. The enumeration of Hamiltonian cycles and paths in a graph is ...

There is a unit called"mysterious"in Japan. It's the unit of the number 10 to the power of 64. Actually, we are sometimes faced with 10 to the power of 64 alternatives in exploring the best ...

In algorithms, as in life, negativity can be a drag. Consider the problem of finding the shortest path between two points on a graph — a network of nodes connected by links, or edges. Often, these ...

Computer scientists are abuzz over a fast new algorithm for solving one of the central problems in the field. (January 15, 2017, update: On January 4, Babai retracted his claim that the new algorithm ...