Combinatorial Reciprocity Theorems

By Raman Sanyal, Matthias Beck

Subjects: Graph polynomials, Number theory, Discrete geometry, Convex and discrete geometry, Lattice polytopes (including relations with commutative algebra and algebraic geometry), Additive number theory; partitions, Combinatorics, $n$-dimensional polytopes, Discrete mathematics in relation to computer science, Lattices and convex bodies in $n$ dimensions, Geometry, Dissections and valuations (Hilbert's third problem, etc.), Graph theory, Polytopes and polyhedra, Combinatorial aspects of simplicial complexes, Combinatorial properties (number of faces, shortest paths, etc.), Combinatorial geometry, Computer science, Lattice points in specified regions, Enumerative combinatorics, Combinatorial analysis, Algebraic combinatorics

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