Combinatorics is the modern mathematics that studies discrete objects, and the problems studied include counting problems, existential problems, enumeration, algorithm problems and optimization ...

This is a course covering a number of concepts and techniques of discrete mathematics. Topics covered: Counting: selections; inclusion-exclusion; generating functions; recurrence relations. Graph ...

We characterize the maximal class of functions that generates such a metric. Further, we show how some interesting properties of these probability metrics arise directly from conditions on the ...