03636nam 2200745 a 450 991078175180332120200520144314.01-283-40044-897866134004443-11-025509-X10.1515/9783110255096(CKB)2550000000050467(EBL)787195(OCoLC)757261228(SSID)ssj0000559548(PQKBManifestationID)11356344(PQKBTitleCode)TC0000559548(PQKBWorkID)10567196(PQKB)10212917(MiAaPQ)EBC787195(DE-B1597)123598(OCoLC)769190162(OCoLC)840435788(DE-B1597)9783110255096(Au-PeEL)EBL787195(CaPaEBR)ebr10512209(CaONFJC)MIL340044(PPN)175479240(EXLCZ)99255000000005046720110531d2011 uy 0engur|n|---|||||txtccrAlgebraic graph theory[electronic resource] morphisms, monoids, and matrices /by Ulrich KnauerBerlin ;Boston De Gruyterc20111 online resource (324 p.)De Gruyter studies in mathematics ;41Description based upon print version of record.3-11-025408-5 3-11-218868-3 Includes bibliographical references and index. Frontmatter -- Preface -- Contents -- Chapter 1. Directed and undirected graphs -- Chapter 2. Graphs and matrices -- Chapter 3. Categories and functors -- Chapter 4. Binary graph operations -- Chapter 5. Line graph and other unary graph operations -- Chapter 6. Graphs and vector spaces -- Chapter 7. Graphs, groups and monoids -- Chapter 8. The characteristic polynomial of graphs -- Chapter 9. Graphs and monoids -- Chapter 10. Compositions, unretractivities and monoids -- Chapter 11. Cayley graphs of semigroups -- Chapter 12. Vertex transitive Cayley graphs -- Chapter 13. Embeddings of Cayley graphs - genus of semigroups -- Bibliography -- Index -- Index of symbolsGraph models are extremely useful for almost all applications and applicators as they play an important role as structuring tools. They allow to model net structures - like roads, computers, telephones - instances of abstract data structures - like lists, stacks, trees - and functional or object oriented programming. In turn, graphs are models for mathematical objects, like categories and functors. This highly self-contained book about algebraic graph theory is written with a view to keep the lively and unconventional atmosphere of a spoken text to communicate the enthusiasm the author feels about this subject. The focus is on homomorphisms and endomorphisms, matrices and eigenvalues. It ends with a challenging chapter on the topological question of embeddability of Cayley graphs on surfaces. De Gruyter studies in mathematics ;41.Graph theoryAlgebraic topologyAlgebra.Graph Theory.Matrices.Monoids.Morphisms.Graph theory.Algebraic topology.511/.5SK 890SEPArvkKnauer U.1942-1482498MiAaPQMiAaPQMiAaPQBOOK9910781751803321Algebraic graph theory3700171UNINA01515nam0 22003011i 450 UON0041219020231205104745.48820121022d1968 |0itac50 bagerGMHDE|||| |||||ˆDas ‰Narrenschiffnach der Erstausgabe (Basel 1494) mit den Zusätzen der Ausgaben von 1495 und 1499 sowie den Holzschnitten der deutschen OriginalausgabenSebastian Brantherausgegeben von Manfred Lemmer2.erweiterte AuflageTübingenMax Niemeyer Verlag1968328 p.20 cm.001UON004121922001 Neudrucke deutscher Literaturwerke. Neue Folgeherausgegeben von Richard Alewyn210 TübingenMax Niemeyer Verlag19-5Letteratura tedescaSec. 14.-16.UONC039277FIDETübingenUONL000208830.3Letteratura tedesca. 1350-151721BRANTSebastianUONV210771396564LEMMERManfredUONV210775NiemeyerUONV248111650ITSOL20251003RICAUON00412190SIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI TED 19 I BRA 2 SI LO 33597 5 2 BuonoSIBA - SISTEMA BIBLIOTECARIO DI ATENEOSI TED 19 I BRA 3 bis SI ST 6658 5 3 bis BuonoNarrenschiff179442UNIOR