【16页精品】Combinatorial Reciprocity Theorems

Abstract: A common theme of enumerative combinatorics is formed by counting functionsthat are polynomials evaluated at positive integers. In this expository paper,we focus on four families of such counting functions connected to hyperplanearrangements, lattice points in polyhedra, proper colorings of graphs, and$P$-partitions. We will see that in each instance we get interestingin..