Combinatorial reciprocity theorems : an invitation to enumerative geometric combinatorics / Matthias Beck, Raman Sanyal.

"Combinatorial reciprocity is a very interesting phenomenon, which can be described as follows: A polynomial, whose values at positive integers count combinatorial objects of some sort, may give the number of combinatorial objects of a different sort when evaluated at negative integers (and suitably...

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Bibliographic Details
Main Authors: Beck, Matthias (Author)
Sanyal, Raman, 1978- (Author)
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2018]
Series:Graduate studies in mathematics ; v. 195.
Subjects:
Combinatorial geometry.
Combinatorial analysis.
Combinatorics > Enumerative combinatorics > Enumerative combinatorics.
Combinatorics > Graph theory > Graph polynomials.
Combinatorics > Algebraic combinatorics > Combinatorial aspects of simplicial complexes.
Number theory > Additive number theory; partitions > Lattice points in specified regions.
Convex and discrete geometry > Polytopes and polyhedra > Combinatorial properties (number of faces, shortest paths, etc.)
Convex and discrete geometry > Polytopes and polyhedra > $n$-dimensional polytopes.
Convex and discrete geometry > Polytopes and polyhedra > Lattice polytopes (including relations with commutative algebra and algebraic geometry)
Convex and discrete geometry > Polytopes and polyhedra > Dissections and valuations (Hilbert's third problem, etc.)
Convex and discrete geometry > Discrete geometry > Lattices and convex bodies in $n$ dimensions.
Computer science > Discrete mathematics in relation to computer science > Combinatorics.
Physical Description:xiv, 308 pages : illustrations ; 27 cm.
Format: Book

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