Combinatorial Reciprocity Theorems : An Invitation to Enumerative Geometric Combinatorics

Beck, Matthias; Sanyal, Raman

ISBN 10: 147042200X / ISBN 13: 9781470422004

Editore: American Mathematical Society, 2018

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Dati bibliografici

• Titolo: Combinatorial Reciprocity Theorems : An Invitation to Enumerative Geometric Combinatorics
• Editore: American Mathematical Society
• Data di pubblicazione: 2018
• Lingua: Inglese
• ISBN 10: 147042200X
• ISBN 13: 9781470422004
• Rilegatura: Rilegato
• Condizione: New

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Riassunto

A combinatorial reciprocity theorem relates two classes of combinatorial objects via their counting functions, explain Beck and Sanyal. They develop tools and techniques for handling combinatorial reciprocities, emphasizing the geometric nature of the combinatorial reciprocities because their own perspective is firmly rooted in geometric combinatorics. That is, for every class of combinatorial objects, they associate a geometric object (such as a polytope or a polyhedral complex) in such a way that the geometry reflects the combinatorial features, including counting functions and reciprocity. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)