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035   $a(OCoLC)1066199514
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100   $a20171228d2017      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$aAdventures in Graph Theory /$fby W. David Joyner, Caroline Grant Melles
205   $a1st ed. 2017.
210  1$aCham :$cSpringer International Publishing :$cImprint: Birkhäuser,$d2017.
215   $a1 online resource (XXVI, 327 p. 80 illus., 56 illus. in color.)
225 1 $aApplied and Numerical Harmonic Analysis,$x2296-5009
311   $a3-319-68381-0 
320   $aIncludes bibliographical references and index.
327   $aGraphs -- Basic Definitions -- Graphs and Laplacians -- Graphs as Manifolds -- Chip-firing Games -- Interesting Graphs -- Cayley Graphs of Bent Functions and Codes -- Appendices -- Selected Answers.
330   $aThis textbook acts as a pathway to higher mathematics by seeking and illuminating the connections between graph theory and diverse fields of mathematics, such as calculus on manifolds, group theory, algebraic curves, Fourier analysis, cryptography and other areas of combinatorics. An overview of graph theory definitions and polynomial invariants for graphs prepares the reader for the subsequent dive into the applications of graph theory. To pique the reader?s interest in areas of possible exploration, recent results in mathematics appear throughout the book, accompanied with examples of related graphs, how they arise, and what their valuable uses are. The consequences of graph theory covered by the authors are complicated and far-reaching, so topics are always exhibited in a user-friendly manner with copious graphs, exercises, and Sage code for the computation of equations. Samples of the book?s source code can be found at github.com/springer-math/adventures-in-graph-theory. The text is geared towards advanced undergraduate and graduate students and is particularly useful for those trying to decide what type of problem to tackle for their dissertation. This book can also serve as a reference for anyone interested in exploring how they can apply graph theory to other parts of mathematics.
410  0$aApplied and Numerical Harmonic Analysis,$x2296-5009
606   $aGraph theory
606   $aFourier analysis
606   $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020
606   $aFourier Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12058
615  0$aGraph theory.
615  0$aFourier analysis.
615 14$aGraph Theory.
615 24$aFourier Analysis.
676   $a511.5
700   $aJoyner$b W. David$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767634
702   $aMelles$b Caroline Grant$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254296903321
996   $aAdventures in Graph Theory$91984161
997   $aUNINA