Thomas will also develop efficient practical algorithms based on this research.
Graph theory is a subdiscipline of combinatorics.
Combinatorics attempts to find efficient methods to study how discrete collections of objects can be arranged. The behavior of discrete systems is extremely important to modern communications. For example, the design of large networks, such as those occurring in telephone systems, and the design of algorithms in computer science deal with discrete sets of objects, and this makes use of combinatorial research. In addition, enumerative information from combinatorics research has been of use in the design of geometric algorithms for problems in robotics and motion planning. More on THIS Work .