說明 
1 online resource (xiii, 778 pages) : illustrations (some color), digital ; 24 cm 

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computer c rdamedia 

online resource cr rdacarrier 

text file PDF rda 
系列 
The IMA volumes in mathematics and its applications, 09406573 ; volume 159


IMA volumes in mathematics and its applications ; volume 159

附註 
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  NordhausGaddum Problems for Colin de Verdiere Type Parameters, Variants of Treewidth, and Related Parameters  Algebraic aspects of the normalized Laplacian  Posetfree 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 sumproduct problem  AjtaiSzemeredi 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 kFrobenius Problem  Dynamical Algebraic Combinatorics and the Homomesy Phenomenon 

This volume presents some of the research topics discussed at the 20142015 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 research problems, making state of the art results more conveniently and widely available. The threepart structure of the volume reflects the three workshops held during Fall 2014. In the first part, topics on extremal and probabilistic combinatorics are presented; part two focuses on additive and analytic combinatorics; and part three presents topics in geometric and enumerative combinatorics. This book will be of use to those who research combinatorics directly or apply combinatorial methods to other fields 
Host Item 
Springer eBooks

主題 
Combinatorial analysis


Mathematics


Combinatorics


Convex and Discrete Geometry


Dynamical Systems and Ergodic Theory


Functional Analysis


Genetics and Population Dynamics

Alt Author 
Beveridge, Andrew, editor


Griggs, Jerrold R., editor


Hogben, Leslie, editor


Musiker, Gregg, editor


Tetali, Prasad, editor


SpringerLink (Online service)

