03593nam 22006975 450 991043787070332120200705074725.00-8176-8391-710.1007/978-0-8176-8391-7(CKB)2670000000299155(EBL)1081661(OCoLC)820362280(SSID)ssj0000813508(PQKBManifestationID)11432802(PQKBTitleCode)TC0000813508(PQKBWorkID)10786705(PQKB)10485830(DE-He213)978-0-8176-8391-7(MiAaPQ)EBC1081661(MiAaPQ)EBC6312496(PPN)168288729(EXLCZ)99267000000029915520121116d2013 u| 0engur|n|---|||||txtccrMagic Graphs /by Alison M. Marr, W.D. Wallis2nd ed. 2013.New York, NY :Springer New York :Imprint: Birkhäuser,2013.1 online resource (198 p.)Includes Index.0-8176-8390-9 Includes bibliographical references (pages [163]-169) and index.Preface -- List of Figures -- Preliminaries -- Edge-Magic Total Labelings -- Vertex-Magic Total Labelings -- Totally Magic Labelings -- Magic Type Labeling of Digraphs -- Notes on the Research Problems -- References -- Bibliography -- Answers to Selected Exercises -- Index.Magic squares are among the more popular mathematical recreations. Over the last 50 years, many generalizations of “magic” ideas have been applied to graphs. Recently there has been a resurgence of interest in “magic labelings” due to a number of results that have applications to the problem of decomposing graphs into trees. Key features of this second edition include: ·         a new chapter on magic labeling of directed graphs ·         applications of theorems from graph theory and interesting counting arguments ·         new research problems and exercises covering a range of difficulties ·         a fully updated bibliography and index This concise, self-contained exposition is unique in its focus on the theory of magic graphs/labelings. It may serve as a graduate or advanced undergraduate text for courses in mathematics or computer science, and as reference for the researcher.Combinatorial analysisComputer science—MathematicsApplied mathematicsEngineering mathematicsCombinatoricshttps://scigraph.springernature.com/ontologies/product-market-codes/M29010Discrete Mathematics in Computer Sciencehttps://scigraph.springernature.com/ontologies/product-market-codes/I17028Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Combinatorial analysis.Computer science—Mathematics.Applied mathematics.Engineering mathematics.Combinatorics.Discrete Mathematics in Computer Science.Applications of Mathematics.511.5Marr Alison Mauthttp://id.loc.gov/vocabulary/relators/aut1064748Wallis W.Dauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910437870703321Magic Graphs2540533UNINA