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Recent Trends in Combinatorics
This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of resear...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor Corporativo: | |
| Otros Autores: | , , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | The IMA Volumes in Mathematics and its Applications,
159 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Section 1: Extremal and Probabilistic Combinatorics
- Problems Related to Graph Indices in Trees
- The edit distance in graphs: methods, results and generalizations
- Repetitions in graphs and sequences
- On Some Extremal Problems for Cycles in Graphs
- A survey of Turan problems for expansions
- Survey on matching, packing and Hamilton cycle problems on hypergraphs
- Rainbow Hamilton cycles in random graphs and hypergraphs
- Further applications of the Container Method
- Independent transversals and hypergraph matchings - an elementary approach
- Giant components in random graphs
- Infinite random graphs and properties of metrics
- Nordhaus-Gaddum Problems for Colin de Verdière Type Parameters, Variants of Tree-width, and Related Parameters
- Algebraic aspects of the normalized Laplacian
- Poset-free Families of Subsets.- Mathematics of causal sets
- Section 2: Additive and Analytic Combinatorics
- Lectures on Approximate groups and Hilbert's 5th Problem
- Character sums and arithmetic combinatorics
- On sum-product problem
- Ajtai-Szemerédi Theorems over quasirandom groups
- Section 3: Enumerative and Geometric Combinatorics
- Moments of orthogonal polynomials and combinatorics
- The combinatorics of knot invariants arising from the study of Macdonald polynomials
- Some algorithmic applications of partition functions in combinatorics
- Partition Analysis, Modular Functions, and Computer Algebra
- A survey of consecutive patterns in permutations
- Unimodality Problems in Ehrhart Theory
- Face enumeration on simplicial complexes
- Simplicial and Cellular Trees
- Parametric Polyhedra with at least k Lattice Points: Their Semigroup Structure and the k-Frobenius Problem.- Dynamical Algebraic Combinatorics and the Homomesy Phenomenon.