LEADER 03370nam 2200589 450 001 9910467836003321 005 20200520144314.0 010 $a3-11-048075-1 010 $a3-11-048184-7 024 7 $a10.1515/9783110481846 035 $a(CKB)4340000000203637 035 $a(MiAaPQ)EBC5049532 035 $a(DE-B1597)466991 035 $a(OCoLC)1004878499 035 $a(DE-B1597)9783110481846 035 $a(Au-PeEL)EBL5049532 035 $a(CaPaEBR)ebr11443177 035 $a(CaONFJC)MIL1036857 035 $a(OCoLC)1004555581 035 $a(EXLCZ)994340000000203637 100 $a20171016h20172017 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $2rdacontent 182 $2rdamedia 183 $2rdacarrier 200 10$aAlgebraic elements of graphs /$fYanpei Liu 210 1$aBerlin, [Germany] ;$aBoston, [Massachusetts] :$cDe Gruyter,$d2017. 210 4$dİ2017 215 $a1 online resource (410 pages) $cillustrations 311 $a3-11-048073-5 320 $aIncludes bibliographical references and indexes. 327 $tFrontmatter --$tPreface (DG Edition) --$tPreface (USTC Edition) --$tContents --$t1. Abstract Graphs --$t2. Abstract Maps --$t3. Duality --$t4. Orientability --$t5. Orientable Maps --$t6. Nonorientable Maps --$t7. Isomorphisms of Maps --$t8. Asymmetrization --$t9. Asymmetrized Petal Bundles --$t10. Asymmetrized Maps --$t11. Maps within Symmetry --$t12. Genus Polynomials --$t13. Census with Partitions --$t14. Equations with Partitions --$t15. Upper Maps of a Graph --$t16. Genera of a Graph --$t17. Isogemial Graphs --$t18. Surface Embeddability --$tAppendix 1: Concepts of Polyhedra, Surfaces, Embeddings and Maps --$tAppendix 2: Table of Genus Polynomials for Embeddings and Maps of Small Size --$tAppendix 3: Atlas of Rooted and Unrooted Maps for Small Graphs --$tBibliography --$tAuthor Index --$tSubject Index 330 $aThis book studies algebraic representations of graphs in order to investigate combinatorial structures via local symmetries. Topological, combinatorial and algebraic classifications are distinguished by invariants of polynomial type and algorithms are designed to determine all such classifications with complexity analysis. Being a summary of the author's original work on graph embeddings, this book is an essential reference for researchers in graph theory. ContentsAbstract GraphsAbstract MapsDualityOrientabilityOrientable MapsNonorientable MapsIsomorphisms of MapsAsymmetrizationAsymmetrized Petal BundlesAsymmetrized MapsMaps within SymmetryGenus PolynomialsCensus with PartitionsEquations with PartitionsUpper Maps of a GraphGenera of a GraphIsogemial GraphsSurface Embeddability 606 $aRepresentations of graphs 606 $aRepresentations of algebras 606 $aAssociative algebras 608 $aElectronic books. 615 0$aRepresentations of graphs. 615 0$aRepresentations of algebras. 615 0$aAssociative algebras. 676 $a511.5 700 $aLiu$b Yanpei$01031773 701 $aUniversity of Science and Technology China Press$01053803 712 02$aUniversity of Science and Technology China Press. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910467836003321 996 $aAlgebraic elements of graphs$92485897 997 $aUNINA LEADER 04008nam 22006134a 450 001 9910829853303321 005 20180125125527.0 010 $a1-280-27464-6 010 $a9786610274642 010 $a0-470-01223-4 010 $a0-470-01222-6 035 $a(CKB)1000000000239299 035 $a(EBL)232672 035 $a(OCoLC)475938742 035 $a(SSID)ssj0000103117 035 $a(PQKBManifestationID)11140187 035 $a(PQKBTitleCode)TC0000103117 035 $a(PQKBWorkID)10060824 035 $a(PQKB)11348677 035 $a(MiAaPQ)EBC232672 035 $a(PPN)158176448 035 $a(EXLCZ)991000000000239299 100 $a20040827d2005 uy 0 101 0 $aeng 135 $aur|n||||||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAnalyzing environmental data$b[electronic resource] /$fWalter W. Piegorsch, A. John Bailer 210 $aChichester, West Sussex, England ;$aHoboken, NJ $cWiley$dc2005 210 $aChichester, West Sussex, England ;$aHoboken, NJ $cWiley$dc2005 215 $a1 online resource (xv, 496 pages) $cillustrations 300 $aDescription based upon print version of record. 320 $aIncludes bibliographical references (p. [447]-471) and indexes. 327 $aLinear regression -- Nonlinear regression -- Generalized linear models -- Quantitative risk assessment with stimulus-response data -- Temporal data and autoregressive modeling -- Spatially correlated data -- Combining environmental information -- Fundamentals of environmental sampling -- A. Review of probability and statistical inference 330 $aEnvironmental statistics is a rapidly growing field, supported by advances in digital computing power, automated data collection systems, and interactive, linkable Internet software. Concerns over public and ecological health and the continuing need to support environmental policy-making and regulation have driven a concurrent explosion in environmental data analysis. This textbook is designed to address the need for trained professionals in this area. The book is based on a course which the authors have taught for many years, and prepares students for careers in environmental analysis centered on statistics and allied quantitative methods of data evaluation. The text extends beyond the introductory level, allowing students and environmental science practitioners to develop the expertise to design and perform sophisticated environmental data analyses. 330 $aIn particular, it: Provides a coherent introduction to intermediate and advanced methods for modeling and analyzing environmental data - Takes a data-oriented approach to describing the various methods - Illustrates the methods with real-world examples - Features extensive exercises, enabling use as a course text.Includes examples of SAS computer code for implementation of the statistical methods - Connects to a Web site featuring solutions to exercises, extra computer code, and additional material - Serves as an overview of methods for analyzing environmental data, enabling use as a reference text for environmental science professionals.Graduate students of statistics studying environmental data analysis will find this invaluable as will practicing data analysts and environmental scientists including specialists in atmospheric science, biology and biomedicine, chemistry, ecology, environmental health, geography, and geology. 606 $aEnvironmental sampling 606 $aRegression analysis 606 $aCorrelation (Statistics) 615 0$aEnvironmental sampling. 615 0$aRegression analysis. 615 0$aCorrelation (Statistics) 676 $a333.714015195 676 $a363.7/0072/7 700 $aPiegorsch$b Walter W$0292437 701 $aBailer$b A. John$0719203 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910829853303321 996 $aAnalyzing environmental data$91395968 997 $aUNINA