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100   $a20110531d2011      uy         0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aAlgebraic graph theory $emorphisms, monoids, and matrices /$fby Ulrich Knauer
205   $a1st ed.
210   $aBerlin ;$aBoston $cDe Gruyter$dc2011
215   $a1 online resource (324 p.)
225 1 $aDe Gruyter studies in mathematics ;$v41
300   $aDescription based upon print version of record.
311 08$a9783110254082 
311 08$a3110254085 
311 08$a9783112188682 
311 08$a3112188683 
320   $aIncludes bibliographical references and index.
327   $t Frontmatter -- $tPreface -- $tContents -- $tChapter 1. Directed and undirected graphs -- $tChapter 2. Graphs and matrices -- $tChapter 3. Categories and functors -- $tChapter 4. Binary graph operations -- $tChapter 5. Line graph and other unary graph operations -- $tChapter 6. Graphs and vector spaces -- $tChapter 7. Graphs, groups and monoids -- $tChapter 8. The characteristic polynomial of graphs -- $tChapter 9. Graphs and monoids -- $tChapter 10. Compositions, unretractivities and monoids -- $tChapter 11. Cayley graphs of semigroups -- $tChapter 12. Vertex transitive Cayley graphs -- $tChapter 13. Embeddings of Cayley graphs - genus of semigroups -- $tBibliography -- $tIndex -- $tIndex of symbols
330   $aGraph models are extremely useful for almost all applications and applicators as they play an important role as structuring tools. They allow to model net structures - like roads, computers, telephones - instances of abstract data structures - like lists, stacks, trees - and functional or object oriented programming. In turn, graphs are models for mathematical objects, like categories and functors. This highly self-contained book about algebraic graph theory is written with a view to keep the lively and unconventional atmosphere of a spoken text to communicate the enthusiasm the author feels about this subject. The focus is on homomorphisms and endomorphisms, matrices and eigenvalues. It ends with a challenging chapter on the topological question of embeddability of Cayley graphs on surfaces. 
410  0$aDe Gruyter studies in mathematics ;$v41.
606   $aGraph theory
606   $aAlgebraic topology
615  0$aGraph theory.
615  0$aAlgebraic topology.
676   $a511/.5
676   $a511.5
686   $aSK 890$qSEPA$2rvk
700   $aKnauer$b Ulrich$f1942-$01823259
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910952320203321
996   $aAlgebraic graph theory$94554614
997   $aUNINA