LEADER 05907nam 22008535 450 001 9910254071603321 005 20200705043401.0 010 $a3-319-24298-9 024 7 $a10.1007/978-3-319-24298-9 035 $a(CKB)3710000000645531 035 $a(EBL)4504815 035 $a(SSID)ssj0001666057 035 $a(PQKBManifestationID)16455732 035 $a(PQKBTitleCode)TC0001666057 035 $a(PQKBWorkID)15000459 035 $a(PQKB)11690566 035 $a(DE-He213)978-3-319-24298-9 035 $a(MiAaPQ)EBC4504815 035 $a(PPN)193444526 035 $a(EXLCZ)993710000000645531 100 $a20160412d2016 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aRecent Trends in Combinatorics /$fedited by Andrew Beveridge, Jerrold R. Griggs, Leslie Hogben, Gregg Musiker, Prasad Tetali 205 $a1st ed. 2016. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2016. 215 $a1 online resource (775 p.) 225 1 $aThe IMA Volumes in Mathematics and its Applications,$x0940-6573 ;$v159 300 $aDescription based upon print version of record. 311 $a3-319-24296-2 320 $aIncludes bibliographical references at the end of each chapters. 327 $aSection 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. 330 $aThis volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when  combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part structure of the volume reflects the three workshops held during Fall 2014. In the first part, topics on extremal and probabilistic combinatorics are presented; part two focuses on additive and analytic combinatorics; and part three presents topics in geometric and enumerative combinatorics. This book will be of use to those who research combinatorics directly or apply combinatorial methods to other fields. 410 0$aThe IMA Volumes in Mathematics and its Applications,$x0940-6573 ;$v159 606 $aCombinatorics 606 $aConvex geometry  606 $aDiscrete geometry 606 $aDynamics 606 $aErgodic theory 606 $aFunctional analysis 606 $aBiomathematics 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aGenetics and Population Dynamics$3https://scigraph.springernature.com/ontologies/product-market-codes/M31010 615 0$aCombinatorics. 615 0$aConvex geometry . 615 0$aDiscrete geometry. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aFunctional analysis. 615 0$aBiomathematics. 615 14$aCombinatorics. 615 24$aConvex and Discrete Geometry. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aFunctional Analysis. 615 24$aGenetics and Population Dynamics. 676 $a511.6 702 $aBeveridge$b Andrew$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aGriggs$b Jerrold R$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aHogben$b Leslie$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMusiker$b Gregg$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aTetali$b Prasad$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254071603321 996 $aRecent trends in combinatorics$91523601 997 $aUNINA