03336nam 2200577 450 991082431800332120230809234344.03-11-048075-13-11-048184-710.1515/9783110481846(CKB)4340000000203637(MiAaPQ)EBC5049532(DE-B1597)466991(OCoLC)1004878499(DE-B1597)9783110481846(Au-PeEL)EBL5049532(CaPaEBR)ebr11443177(CaONFJC)MIL1036857(OCoLC)1004555581(EXLCZ)99434000000020363720171016h20172017 uy 0engurcnu||||||||rdacontentrdamediardacarrierAlgebraic elements of graphs /Yanpei LiuBerlin, [Germany] ;Boston, [Massachusetts] :De Gruyter,2017.©20171 online resource (410 pages) illustrations3-11-048073-5 Includes bibliographical references and indexes.Frontmatter --Preface (DG Edition) --Preface (USTC Edition) --Contents --1. Abstract Graphs --2. Abstract Maps --3. Duality --4. Orientability --5. Orientable Maps --6. Nonorientable Maps --7. Isomorphisms of Maps --8. Asymmetrization --9. Asymmetrized Petal Bundles --10. Asymmetrized Maps --11. Maps within Symmetry --12. Genus Polynomials --13. Census with Partitions --14. Equations with Partitions --15. Upper Maps of a Graph --16. Genera of a Graph --17. Isogemial Graphs --18. Surface Embeddability --Appendix 1: Concepts of Polyhedra, Surfaces, Embeddings and Maps --Appendix 2: Table of Genus Polynomials for Embeddings and Maps of Small Size --Appendix 3: Atlas of Rooted and Unrooted Maps for Small Graphs --Bibliography --Author Index --Subject IndexThis 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 EmbeddabilityRepresentations of graphsRepresentations of algebrasAssociative algebrasRepresentations of graphs.Representations of algebras.Associative algebras.511.5Liu Yanpei1134336University of Science and Technology China Press1628838University of Science and Technology China Press.MiAaPQMiAaPQMiAaPQBOOK9910824318003321Algebraic elements of graphs3966207UNINA02175nam 2200577I 450 991070967490332120231214125756.0(CKB)5470000002471485(OCoLC)1037352298(EXLCZ)99547000000247148520180525d2013 ua 0engurbn|||||||||txtrdacontentcrdamediacrrdacarrierBuilding bridges LGBT populations : a dialogue on advancing opportunities for recovery from addictions and mental health problems /[prepared by Irene Saunders Goldstein]Rockville, MD :U.S. Department of Health and Human Services, Substance Abuse and Mental Health Services Administration, Center for Mental Health Services,2013.1 online resource (v, 64 pages)HHS publication ;no. (SMA) 13-4774Includes bibliographical references (pages 55-61).Building bridgesSubstance abuseTreatmentGay peopleSubstance useLesbiansSubstance useGay menSubstance useAddictsRehabilitationMental health servicesUnited StatesGay menMental healthLesbiansMental healthGay menMental healthSexual minoritiesMental healthUnited StatesSubstance abuseTreatment.Gay peopleSubstance use.LesbiansSubstance use.Gay menSubstance use.AddictsRehabilitation.Mental health servicesGay menMental health.LesbiansMental health.Gay menMental health.Sexual minoritiesMental healthGoldstein Irene Saunders1413939Center for Mental Health Services (U.S.),United States.Substance Abuse and Mental Health Services Administration,GPOGPOBOOK9910709674903321Building bridges3511651UNINA01421nam0 22002771i 450 UON0009049720231205102507.96720020107d1993 |0itac50 bamulYU|||| |||||Kultur linearnotrakaste keramik u sredisnjoj hrvatskojKorenovska KulturaThe linear pottery culture in Central CroaziaThe Korenovo cultureT. Tezak-GreglZagrebArheoloski Zavod Filozofskog Fakulteta Sveucilista u Zagreb1993 90 p.tav. ; 28 cm001UON000875062001 Dizertacije i monografijeDissertationes et monographie210 ZagrebArheoloski Zavod Filozofskog Fakuilteta Svevcilista u Zagrebu1992- v. ; cm.2ArcheologiaCroaziaUONC027407FIHRZagrebUONL001976930.1Archeologia - Storia del mondo antico21O2PREISTORIA PROTOSTORIA EUROPEAATEZAK-GREGLTihomilaUONV057870663118Arheoloski zavod filosofskog....UONV259742650ITSOL20250328RICASIBA - SISTEMA BIBLIOTECARIO DI ATENEOUONSIUON00090497SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI O 2 086 SI MC 16871 5 Kultur linearnotrakaste keramik u sredisnjoj hrvatskoj1304654UNIOR