Model theoretic methods in finite combinatorics : AMS-ASL Joint Special Session, January 5-8, 2009 Washington, DC / / Martin Grohe, Johann A. Makowsky, editors

• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2011]; ©2011
• Descrizione fisica: 1 online resource (529 p.)
• Disciplina: 519.2
• Soggetto topico: Finite model theory; Combinatorial probabilities
• Classificazione: 03-0203-0605-0205-0668-0268-06
• Persona (resp. second.): GroheM (Martin); MakowskyJohann A. <1948->
• Note generali: Description based upon print version of record.
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Contents -- Preface -- Application of Logic to Combinatorial Sequences and Their Recurrence Relations -- Part 1. Introduction and Synopsis -- 1. Sequences of integers and their combinatorial interpretations -- 2. Linear recurrences -- 3. Logical formalisms -- 4. Finiteness conditions -- 5. Logical interpretations of integer sequences -- Part 2. Guiding Examples -- 6. The classical recurrence relations -- 7. Functions, permutations and partitions -- 8. Trees and forests -- 9. Graph properties -- 10. Latin squares -- Part 3. C-Finite and Holonomic Sequences -- 2.2. A length-depth relation -- 2.3. Distinguishability vs. definability -- 3. Ehrenfeucht games -- 4. The Weisfeiler-Lehman algorithm -- 5. Worst case bounds -- 5.1. Classes of graphs -- 5.2. General case -- 6. Average case bounds -- Methods for Algorithmic Meta Theorems -- On Counting Generalized Colorings -- 1. Introduction -- 2. Prelude: two typical graph polynomials -- 3. Counting generalized colorings -- 4. SOL-polynomials and subset expansion -- 5. Standard vs FF vs Newton SOL-polynomials -- 6. Equivalence of counting Ï?-colorings and SOL-polynomials -- 7. MSOL-polynomials -- 8. Enter categoricity -- 9. Conclusions -- References -- Counting Homomorphisms and Partition Functions -- Some Examples of Universal and Generic Partial Orders -- Two Problems on Homogeneous Structures, Revisited -- On Symmetric Indivisibility of Countable Structures -- Partitions and Permutation Groups -- (Un)countable and (Non)effective Versions of Ramsey's Theorem -- Reducts of Ramsey Structures -- 1. Introduction -- 2. Reducts -- 3. Ramsey Classes -- 4. Topological Dynamics -- 5. Minimal Functions -- 6. Decidability of Definability -- 7. Interpretability -- 8. Complexity of Constraint Satisfaction -- 9. Concluding Remarks and Further Directions -- References.
• Titolo autorizzato: Model theoretic methods in finite combinatorics
• ISBN: 0-8218-8237-6
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910814068203321
• Lo trovi qui: Univ. Federico II
• Serie: Contemporary mathematics (American Mathematical Society). ; 558 . 0271-4132